232872181476480 has 6144 divisors, whose sum is σ = 1113966120960000. Its totient is φ = 45485852590080.

The previous prime is 232872181476409. The next prime is 232872181476481. The reversal of 232872181476480 is 84674181278232.

232872181476480 is a `hidden beast` number, since 2 + 3 + 2 + 8 + 7 + 2 + 1 + 8 + 147 + 6 + 480 = 666.

It is a super-2 number, since 2×232872181476480² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (232872181476481) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 865695841786 + ... + 865695842054.

It is an arithmetic number, because the mean of its divisors is an integer number (181309590000).

Almost surely, 2^{232872181476480} is an apocalyptic number.

232872181476480 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 232872181476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556983060480000).

232872181476480 is an abundant number, since it is smaller than the sum of its proper divisors (881093939483520).

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

232872181476480 is a wasteful number, since it uses less digits than its factorization.

232872181476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 232872181476480 in words is "two hundred thirty-two trillion, eight hundred seventy-two billion, one hundred eighty-one million, four hundred seventy-six thousand, four hundred eighty".