232970013392256 has 3072 divisors, whose sum is σ = 901290931200000. Its totient is φ = 57756849389568.

The previous prime is 232970013392177. The next prime is 232970013392293. The reversal of 232970013392256 is 652293310079232.

232970013392256 is a `hidden beast` number, since 2 + 3 + 297 + 0 + 0 + 13 + 3 + 92 + 256 = 666.

It is a super-3 number, since 3×232970013392256³ (a number of 44 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2806867631191 + ... + 2806867631273.

It is an arithmetic number, because the mean of its divisors is an integer number (293388975000).

Almost surely, 2^{232970013392256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232970013392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450645465600000).

232970013392256 is an abundant number, since it is smaller than the sum of its proper divisors (668320917807744).

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

232970013392256 is a wasteful number, since it uses less digits than its factorization.

232970013392256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 232970013392256 in words is "two hundred thirty-two trillion, nine hundred seventy billion, thirteen million, three hundred ninety-two thousand, two hundred fifty-six".