22040668521 has 81 divisors (see below), whose sum is σ = 35159508709. Its totient is φ = 13302105600.

The previous prime is 22040668511. The next prime is 22040668571. The reversal of 22040668521 is 12586604022.

It is a happy number.

The square root of 22040668521 is 148461.

It is a perfect power (a square), and thus also a powerful number.

22040668521 is a `hidden beast` number, since 220 + 406 + 6 + 8 + 5 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1552754025 + 20487914496 = 39405^2 + 143136^2 .

It is not a de Polignac number, because 22040668521 - 2¹³ = 22040660329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22040668501) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 310431916 + ... + 310431986.

Almost surely, 2^22040668521 is an apocalyptic number.

22040668521 is the 148461-st square number.

22040668521 is the 74231-st centered octagonal number.

It is an amenable number.

22040668521 is a deficient number, since it is larger than the sum of its proper divisors (13118840188).

22040668521 is an equidigital number, since it uses as much as digits as its factorization.

22040668521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 22040668521 by its sum of digits (36), we get a square (793464066756 = 890766²).

It can be divided in two parts, 22040 and 668521, that added together give a square (690561 = 831²).

The spelling of 22040668521 in words is "twenty-two billion, forty million, six hundred sixty-eight thousand, five hundred twenty-one".