230536737295200 has 1440 divisors, whose sum is σ = 993427713432000. Its totient is φ = 50925300203520.

The previous prime is 230536737295147. The next prime is 230536737295229. The reversal of 230536737295200 is 2592737635032.

230536737295200 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 3 + 67 + 37 + 29 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×230536737295200² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2500650706 + ... + 2500742894.

It is an arithmetic number, because the mean of its divisors is an integer number (689880356550).

Almost surely, 2^{230536737295200} is an apocalyptic number.

230536737295200 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 230536737295200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496713856716000).

230536737295200 is an abundant number, since it is smaller than the sum of its proper divisors (762890976136800).

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

230536737295200 is a wasteful number, since it uses less digits than its factorization.

230536737295200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92414 (or 92392 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 54.

The spelling of 230536737295200 in words is "two hundred thirty trillion, five hundred thirty-six billion, seven hundred thirty-seven million, two hundred ninety-five thousand, two hundred".