232882771968 has 648 divisors, whose sum is σ = 860420908620. Its totient is φ = 60460646400.

The previous prime is 232882771939. The next prime is 232882772011. The reversal of 232882771968 is 869177288232.

232882771968 is a `hidden beast` number, since 23 + 288 + 277 + 1 + 9 + 68 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 109282263 + ... + 109284393.

Almost surely, 2^232882771968 is an apocalyptic number.

232882771968 is a gapful number since it is divisible by the number (28) 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 232882771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430210454310).

232882771968 is an abundant number, since it is smaller than the sum of its proper divisors (627538136652).

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

232882771968 is a wasteful number, since it uses less digits than its factorization.

232882771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2154 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 232882771968 in words is "two hundred thirty-two billion, eight hundred eighty-two million, seven hundred seventy-one thousand, nine hundred sixty-eight".