22013627468364 has 216 divisors, whose sum is σ = 65019212975808. Its totient is φ = 6261616751040.

The previous prime is 22013627468341. The next prime is 22013627468383. The reversal of 22013627468364 is 46386472631022.

22013627468364 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 6 + 274 + 6 + 8 + 364 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22013627468364.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 393557479 + ... + 393613409.

It is an arithmetic number, because the mean of its divisors is an integer number (301014874888).

Almost surely, 2^{22013627468364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013627468364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32509606487904).

22013627468364 is an abundant number, since it is smaller than the sum of its proper divisors (43005585507444).

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

22013627468364 is a wasteful number, since it uses less digits than its factorization.

22013627468364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56945 (or 56933 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 22013627468364 in words is "twenty-two trillion, thirteen billion, six hundred twenty-seven million, four hundred sixty-eight thousand, three hundred sixty-four".