233114127348960 has 1536 divisors, whose sum is σ = 964775690403840. Its totient is φ = 51827127091200.

The previous prime is 233114127348959. The next prime is 233114127348961. The reversal of 233114127348960 is 69843721411332.

233114127348960 is a `hidden beast` number, since 2 + 3 + 3 + 114 + 127 + 348 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (233114127348959) and next prime (233114127348961).

It is a super-2 number, since 2×233114127348960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 233114127348897 and 233114127348906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233114127348961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68744948865 + ... + 68744952255.

It is an arithmetic number, because the mean of its divisors is an integer number (628109173440).

Almost surely, 2^{233114127348960} is an apocalyptic number.

233114127348960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233114127348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482387845201920).

233114127348960 is an abundant number, since it is smaller than the sum of its proper divisors (731661563054880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233114127348960 is a wasteful number, since it uses less digits than its factorization.

233114127348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 233114127348960 in words is "two hundred thirty-three trillion, one hundred fourteen billion, one hundred twenty-seven million, three hundred forty-eight thousand, nine hundred sixty".