22352642064 has 75 divisors (see below), whose sum is σ = 64710612813. Its totient is φ = 7449086592.

The previous prime is 22352642047. The next prime is 22352642087. The reversal of 22352642064 is 46024625322.

The square root of 22352642064 is 149508.

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

22352642064 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 2 + 642 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 268304400 + 22084337664 = 16380^2 + 148608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5380212 + ... + 5384364.

Almost surely, 2^22352642064 is an apocalyptic number.

22352642064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22352642064 is the 149508-th square number.

It is an amenable number.

22352642064 is an abundant number, since it is smaller than the sum of its proper divisors (42357970749).

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

22352642064 is an frugal number, since it uses more digits than its factorization.

22352642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 22352642064 by its sum of digits (36), we get a square (804695114304 = 897048²).

22352642064 divided by its sum of digits (36) gives a square (620906724 = 24918²).

The spelling of 22352642064 in words is "twenty-two billion, three hundred fifty-two million, six hundred forty-two thousand, sixty-four".