232193623749120 has 480 divisors, whose sum is σ = 909747544305600. Its totient is φ = 56289361674240.

The previous prime is 232193623749067. The next prime is 232193623749121. The reversal of 232193623749120 is 21947326391232.

232193623749120 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 9 + 3 + 623 + 7 + 4 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (232193623749121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10123195 + ... + 23808954.

It is an arithmetic number, because the mean of its divisors is an integer number (1895307383970).

Almost surely, 2^{232193623749120} is an apocalyptic number.

232193623749120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232193623749120 is an abundant number, since it is smaller than the sum of its proper divisors (677553920556480).

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

232193623749120 is an equidigital number, since it uses as much as digits as its factorization.

232193623749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33932198 (or 33932170 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 232193623749120 in words is "two hundred thirty-two trillion, one hundred ninety-three billion, six hundred twenty-three million, seven hundred forty-nine thousand, one hundred twenty".