22229532864 has 672 divisors, whose sum is σ = 85895078400. Its totient is φ = 5568030720.

The previous prime is 22229532841. The next prime is 22229532869. The reversal of 22229532864 is 46823592222.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (22229532869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27009957 + ... + 27010779.

Almost surely, 2^22229532864 is an apocalyptic number.

22229532864 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 22229532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42947539200).

22229532864 is an abundant number, since it is smaller than the sum of its proper divisors (63665545536).

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

22229532864 is a wasteful number, since it uses less digits than its factorization.

22229532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 875 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 22229532864 in words is "twenty-two billion, two hundred twenty-nine million, five hundred thirty-two thousand, eight hundred sixty-four".