22014864000000 has 2079 divisors, whose sum is σ = 88236684638011. Its totient is φ = 5285068800000.

The previous prime is 22014863999993. The next prime is 22014864000001. The reversal of 22014864000000 is 46841022.

The square root of 22014864000000 is 4692000.

It is a perfect power (a square), and thus also a powerful number.

22014864000000 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 8 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 21643485889536 + 371378110464 = 4652256^2 + 609408^2 .

It is not an unprimeable number, because it can be changed into a prime (22014864000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 957167999989 + ... + 957168000011.

Almost surely, 2^{22014864000000} is an apocalyptic number.

22014864000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22014864000000 is the 4692000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014864000000

22014864000000 is an abundant number, since it is smaller than the sum of its proper divisors (66221820638011).

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

22014864000000 is an frugal number, since it uses more digits than its factorization.

22014864000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 22014864000000 in words is "twenty-two trillion, fourteen billion, eight hundred sixty-four million", and thus it is an aban number.