234980905884480 has 2100 divisors, whose sum is σ = 1007848489726980. Its totient is φ = 51964114083840.

The previous prime is 234980905884463. The next prime is 234980905884497. The reversal of 234980905884480 is 84488509089432.

234980905884480 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 8 + 0 + 90 + 58 + 8 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (234980905884463) and next prime (234980905884497).

It can be written as a sum of positive squares in 2 ways, for example, as 56948032217664 + 178032873666816 = 7546392^2 + 13342896^2 .

It is a super-2 number, since 2×234980905884480² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 234980905884399 and 234980905884408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 59806795156 + ... + 59806799084.

Almost surely, 2^{234980905884480} is an apocalyptic number.

234980905884480 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 234980905884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503924244863490).

234980905884480 is an abundant number, since it is smaller than the sum of its proper divisors (772867583842500).

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

234980905884480 is an frugal number, since it uses more digits than its factorization.

234980905884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 234980905884480 in words is "two hundred thirty-four trillion, nine hundred eighty billion, nine hundred five million, eight hundred eighty-four thousand, four hundred eighty".