232064919000 has 320 divisors, whose sum is σ = 820335859200. Its totient is φ = 61186752000.

The previous prime is 232064918959. The next prime is 232064919011. The reversal of 232064919000 is 919460232.

232064919000 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 649 + 1 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×232064919000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7192905 + ... + 7225095.

It is an arithmetic number, because the mean of its divisors is an integer number (2563549560).

Almost surely, 2^232064919000 is an apocalyptic number.

232064919000 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 232064919000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410167929600).

232064919000 is an abundant number, since it is smaller than the sum of its proper divisors (588270940200).

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

232064919000 is a wasteful number, since it uses less digits than its factorization.

232064919000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32313 (or 32290 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 232064919000 in words is "two hundred thirty-two billion, sixty-four million, nine hundred nineteen thousand".