232893702144 has 448 divisors, whose sum is σ = 722466708480. Its totient is φ = 74070097920.

The previous prime is 232893702137. The next prime is 232893702157. The reversal of 232893702144 is 441207398232.

232893702144 is a `hidden beast` number, since 232 + 8 + 9 + 370 + 2 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 232893702144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447012604 + ... + 447013124.

Almost surely, 2^232893702144 is an apocalyptic number.

232893702144 is a gapful number since it is divisible by the number (24) 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 232893702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361233354240).

232893702144 is an abundant number, since it is smaller than the sum of its proper divisors (489573006336).

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

232893702144 is an equidigital number, since it uses as much as digits as its factorization.

232893702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 232893702144 in words is "two hundred thirty-two billion, eight hundred ninety-three million, seven hundred two thousand, one hundred forty-four".