22817361920 has 104 divisors (see below), whose sum is σ = 57976749864. Its totient is φ = 8589934592.

The previous prime is 22817361887. The next prime is 22817361949. The reversal of 22817361920 is 2916371822.

It can be written as a sum of positive squares in 4 ways, for example, as 13065404416 + 9751957504 = 114304^2 + 98752^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 22817361920 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315392 + ... + 380928.

Almost surely, 2^22817361920 is an apocalyptic number.

22817361920 is a gapful number since it is divisible by the number (20) 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 22817361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28988374932).

22817361920 is an abundant number, since it is smaller than the sum of its proper divisors (35159387944).

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

22817361920 is an equidigital number, since it uses as much as digits as its factorization.

22817361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65583 (or 65561 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 22817361920 in words is "twenty-two billion, eight hundred seventeen million, three hundred sixty-one thousand, nine hundred twenty".