232991075191104 has 224 divisors, whose sum is σ = 686437623312000. Its totient is φ = 77495268630528.

The previous prime is 232991075191003. The next prime is 232991075191151. The reversal of 232991075191104 is 401191570199232.

232991075191104 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 9 + 1 + 0 + 7 + 519 + 110 + 4 = 666.

232991075191104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232991075191104² (a number of 30 digits) contains 22 as substring.

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

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, 1487171527 + ... + 1487328185.

It is an arithmetic number, because the mean of its divisors is an integer number (3064453675500).

Almost surely, 2^{232991075191104} is an apocalyptic number.

232991075191104 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 232991075191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343218811656000).

232991075191104 is an abundant number, since it is smaller than the sum of its proper divisors (453446548120896).

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

232991075191104 is a wasteful number, since it uses less digits than its factorization.

232991075191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158542 (or 158526 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 232991075191104 in words is "two hundred thirty-two trillion, nine hundred ninety-one billion, seventy-five million, one hundred ninety-one thousand, one hundred four".