22466423361564 has 768 divisors, whose sum is σ = 75964737945600. Its totient is φ = 5582446387200.

The previous prime is 22466423361559. The next prime is 22466423361589. The reversal of 22466423361564 is 46516332466422.

22466423361564 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 6 + 42 + 3 + 36 + 1 + 564 = 666.

It is a super-2 number, since 2×22466423361564² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22466423361564.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 6957701502 + ... + 6957704730.

It is an arithmetic number, because the mean of its divisors is an integer number (98912419200).

Almost surely, 2^{22466423361564} 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 22466423361564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37982368972800).

22466423361564 is an abundant number, since it is smaller than the sum of its proper divisors (53498314584036).

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

22466423361564 is a wasteful number, since it uses less digits than its factorization.

22466423361564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891 (or 3883 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 22466423361564 in words is "twenty-two trillion, four hundred sixty-six billion, four hundred twenty-three million, three hundred sixty-one thousand, five hundred sixty-four".