12922164565632 has 640 divisors, whose sum is σ = 46376575660800. Its totient is φ = 3491803054080.

The previous prime is 12922164565627. The next prime is 12922164565649. The reversal of 12922164565632 is 23656546122921.

12922164565632 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 16 + 4 + 565 + 63 + 2 = 666.

It is a super-2 number, since 2×12922164565632² (a number of 27 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 148519582 + ... + 148606562.

It is an arithmetic number, because the mean of its divisors is an integer number (72463399470).

Almost surely, 2^{12922164565632} is an apocalyptic number.

12922164565632 is a gapful number since it is divisible by the number (12) 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 12922164565632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23188287830400).

12922164565632 is an abundant number, since it is smaller than the sum of its proper divisors (33454411095168).

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

12922164565632 is an equidigital number, since it uses as much as digits as its factorization.

12922164565632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87126 (or 87105 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 12922164565632 in words is "twelve trillion, nine hundred twenty-two billion, one hundred sixty-four million, five hundred sixty-five thousand, six hundred thirty-two".