232965694080 has 1152 divisors, whose sum is σ = 1022170968000. Its totient is φ = 50415353856.

The previous prime is 232965694007. The next prime is 232965694111. The reversal of 232965694080 is 80496569232.

It is a happy number.

232965694080 is a `hidden beast` number, since 2 + 32 + 9 + 6 + 569 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×232965694080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144788316 + ... + 144789924.

Almost surely, 2^232965694080 is an apocalyptic number.

232965694080 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 232965694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511085484000).

232965694080 is an abundant number, since it is smaller than the sum of its proper divisors (789205273920).

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

232965694080 is a wasteful number, since it uses less digits than its factorization.

232965694080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 232965694080 in words is "two hundred thirty-two billion, nine hundred sixty-five million, six hundred ninety-four thousand, eighty".