22564464320125 has 128 divisors (see below), whose sum is σ = 34983172224000. Its totient is φ = 14149408665600.

The previous prime is 22564464320113. The next prime is 22564464320129. The reversal of 22564464320125 is 52102346446522.

It is not a de Polignac number, because 22564464320125 - 2¹⁵ = 22564464287357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22564464320129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 777614617 + ... + 777643633.

It is an arithmetic number, because the mean of its divisors is an integer number (273306033000).

Almost surely, 2^{22564464320125} is an apocalyptic number.

22564464320125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22564464320125 is a deficient number, since it is larger than the sum of its proper divisors (12418707903875).

22564464320125 is a wasteful number, since it uses less digits than its factorization.

22564464320125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29688 (or 29678 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 22564464320125 in words is "twenty-two trillion, five hundred sixty-four billion, four hundred sixty-four million, three hundred twenty thousand, one hundred twenty-five".