22271532864 has 224 divisors, whose sum is σ = 69757747200. Its totient is φ = 6136750080.

The previous prime is 22271532817. The next prime is 22271532887. The reversal of 22271532864 is 46823517222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×22271532864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14956632 + ... + 14958120.

Almost surely, 2^22271532864 is an apocalyptic number.

22271532864 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 22271532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34878873600).

22271532864 is an abundant number, since it is smaller than the sum of its proper divisors (47486214336).

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

22271532864 is a wasteful number, since it uses less digits than its factorization.

22271532864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1891 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 22271532864 in words is "twenty-two billion, two hundred seventy-one million, five hundred thirty-two thousand, eight hundred sixty-four".