22813308672 has 288 divisors, whose sum is σ = 77253388800. Its totient is φ = 5924782080.

The previous prime is 22813308667. The next prime is 22813308689. The reversal of 22813308672 is 27680331822.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2893728 + ... + 2901600.

Almost surely, 2^22813308672 is an apocalyptic number.

22813308672 is a gapful number since it is divisible by the number (22) 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 22813308672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38626694400).

22813308672 is an abundant number, since it is smaller than the sum of its proper divisors (54440080128).

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

22813308672 is an equidigital number, since it uses as much as digits as its factorization.

22813308672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7924 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 22813308672 in words is "twenty-two billion, eight hundred thirteen million, three hundred eight thousand, six hundred seventy-two".