232438269772800 has 7392 divisors, whose sum is σ = 1151053707347712. Its totient is φ = 45130878812160.

The previous prime is 232438269772799. The next prime is 232438269772811. The reversal of 232438269772800 is 8277962834232.

232438269772800 is a `hidden beast` number, since 2 + 3 + 24 + 3 + 8 + 269 + 77 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 2396270822352 + ... + 2396270822448.

Almost surely, 2^{232438269772800} is an apocalyptic number.

232438269772800 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 232438269772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575526853673856).

232438269772800 is an abundant number, since it is smaller than the sum of its proper divisors (918615437574912).

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

232438269772800 is a wasteful number, since it uses less digits than its factorization.

232438269772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 232438269772800 in words is "two hundred thirty-two trillion, four hundred thirty-eight billion, two hundred sixty-nine million, seven hundred seventy-two thousand, eight hundred".