22314085641 has 81 divisors (see below), whose sum is σ = 35814886783. Its totient is φ = 13384358400.

The previous prime is 22314085627. The next prime is 22314085649. The reversal of 22314085641 is 14658041322.

It is a happy number.

The square root of 22314085641 is 149379.

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

22314085641 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 0 + 8 + 5 + 641 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 322382025 + 21991703616 = 17955^2 + 148296^2 .

It is not a de Polignac number, because 22314085641 - 2⁵ = 22314085609 is a prime.

It is a super-3 number, since 3×22314085641³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22314085596 and 22314085605.

It is not an unprimeable number, because it can be changed into a prime (22314085649) 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, 220931491 + ... + 220931591.

Almost surely, 2^22314085641 is an apocalyptic number.

22314085641 is the 149379-th square number.

22314085641 is the 74690-th centered octagonal number.

It is an amenable number.

22314085641 is a deficient number, since it is larger than the sum of its proper divisors (13500801142).

22314085641 is a wasteful number, since it uses less digits than its factorization.

22314085641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

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

Multiplying 22314085641 by its sum of digits (36), we get a square (803307083076 = 896274²).

The spelling of 22314085641 in words is "twenty-two billion, three hundred fourteen million, eighty-five thousand, six hundred forty-one".