12164321933568 has 1728 divisors, whose sum is σ = 44865236183040. Its totient is φ = 3235612262400.

The previous prime is 12164321933557. The next prime is 12164321933573. The reversal of 12164321933568 is 86533912346121.

12164321933568 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 4 + 32 + 19 + 33 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67206198438 + ... + 67206198618.

Almost surely, 2^{12164321933568} is an apocalyptic number.

12164321933568 is a gapful number since it is divisible by the number (18) 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 12164321933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22432618091520).

12164321933568 is an abundant number, since it is smaller than the sum of its proper divisors (32700914249472).

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

12164321933568 is a wasteful number, since it uses less digits than its factorization.

12164321933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 434 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 12164321933568 in words is "twelve trillion, one hundred sixty-four billion, three hundred twenty-one million, nine hundred thirty-three thousand, five hundred sixty-eight".