22312005664 has 48 divisors (see below), whose sum is σ = 47546048088. Its totient is φ = 10245537792.

The previous prime is 22312005659. The next prime is 22312005743. The reversal of 22312005664 is 46650021322.

It can be written as a sum of positive squares in 4 ways, for example, as 16337952400 + 5974053264 = 127820^2 + 77292^2 .

It is a super-3 number, since 3×22312005664³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54177 + ... + 218080.

Almost surely, 2^22312005664 is an apocalyptic number.

It is an amenable number.

22312005664 is an abundant number, since it is smaller than the sum of its proper divisors (25234042424).

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

22312005664 is a wasteful number, since it uses less digits than its factorization.

22312005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272477 (or 272469 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 22312005664 its reverse (46650021322), we get a palindrome (68962026986).

The spelling of 22312005664 in words is "twenty-two billion, three hundred twelve million, five thousand, six hundred sixty-four".