22516676664 has 96 divisors (see below), whose sum is σ = 60196560000. Its totient is φ = 7016947200.

The previous prime is 22516676659. The next prime is 22516676729. The reversal of 22516676664 is 46667661522.

It is a super-4 number, since 4×22516676664⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036587 + ... + 1058085.

It is an arithmetic number, because the mean of its divisors is an integer number (627047500).

Almost surely, 2^22516676664 is an apocalyptic number.

22516676664 is a gapful number since it is divisible by the number (24) 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 22516676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30098280000).

22516676664 is an abundant number, since it is smaller than the sum of its proper divisors (37679883336).

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

22516676664 is a wasteful number, since it uses less digits than its factorization.

22516676664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21693 (or 21672 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 22516676664 in words is "twenty-two billion, five hundred sixteen million, six hundred seventy-six thousand, six hundred sixty-four".