232153084823040 has 2880 divisors, whose sum is σ = 916876416867840. Its totient is φ = 54174720983040.

The previous prime is 232153084822963. The next prime is 232153084823069. The reversal of 232153084823040 is 40328480351232.

232153084823040 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 530 + 8 + 4 + 82 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×232153084823040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 863022620026 + ... + 863022620294.

It is an arithmetic number, because the mean of its divisors is an integer number (318359866968).

Almost surely, 2^{232153084823040} is an apocalyptic number.

232153084823040 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 232153084823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458438208433920).

232153084823040 is an abundant number, since it is smaller than the sum of its proper divisors (684723332044800).

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

232153084823040 is a wasteful number, since it uses less digits than its factorization.

232153084823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 232153084823040 in words is "two hundred thirty-two trillion, one hundred fifty-three billion, eighty-four million, eight hundred twenty-three thousand, forty".