162111584640960 has 336 divisors, whose sum is σ = 596901190459392. Its totient is φ = 41835247027200.

The previous prime is 162111584640913. The next prime is 162111584640961. The reversal of 162111584640960 is 69046485111261.

162111584640960 is a `hidden beast` number, since 1 + 6 + 2 + 1 + 11 + 584 + 6 + 40 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 162111584640897 and 162111584640906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162111584640961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31214736 + ... + 36035855.

It is an arithmetic number, because the mean of its divisors is an integer number (1776491638272).

Almost surely, 2^{162111584640960} is an apocalyptic number.

162111584640960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162111584640960 is an abundant number, since it is smaller than the sum of its proper divisors (434789605818432).

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

162111584640960 is an equidigital number, since it uses as much as digits as its factorization.

162111584640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67250654 (or 67250632 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 162111584640960 in words is "one hundred sixty-two trillion, one hundred eleven billion, five hundred eighty-four million, six hundred forty thousand, nine hundred sixty".