22530500664 has 384 divisors, whose sum is σ = 70995916800. Its totient is φ = 5927040000.

The previous prime is 22530500653. The next prime is 22530500717. The reversal of 22530500664 is 46600503522.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 106779519 + ... + 106779729.

It is an arithmetic number, because the mean of its divisors is an integer number (184885200).

Almost surely, 2^22530500664 is an apocalyptic number.

22530500664 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 22530500664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497958400).

22530500664 is an abundant number, since it is smaller than the sum of its proper divisors (48465416136).

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

22530500664 is a wasteful number, since it uses less digits than its factorization.

22530500664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 22530500664 in words is "twenty-two billion, five hundred thirty million, five hundred thousand, six hundred sixty-four".