93232680468480 has 1632 divisors, whose sum is σ = 381403070889984. Its totient is φ = 20625871601664.

The previous prime is 93232680468413. The next prime is 93232680468481. The reversal of 93232680468480 is 8486408623239.

93232680468480 is a `hidden beast` number, since 9 + 3 + 2 + 32 + 6 + 80 + 46 + 8 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93232680468481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112736009827 + ... + 112736010653.

Almost surely, 2^{93232680468480} is an apocalyptic number.

93232680468480 is a gapful number since it is divisible by the number (90) 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 93232680468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190701535444992).

93232680468480 is an abundant number, since it is smaller than the sum of its proper divisors (288170390421504).

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

93232680468480 is a wasteful number, since it uses less digits than its factorization.

93232680468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 93232680468480 in words is "ninety-three trillion, two hundred thirty-two billion, six hundred eighty million, four hundred sixty-eight thousand, four hundred eighty".