22545314566401 has 16 divisors (see below), whose sum is σ = 33117869827008. Its totient is φ = 13528541592000.

The previous prime is 22545314566393. The next prime is 22545314566441. The reversal of 22545314566401 is 10466541354522.

It is not a de Polignac number, because 22545314566401 - 2³ = 22545314566393 is a prime.

It is a super-2 number, since 2×22545314566401² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22545314566441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3382132066 + ... + 3382138731.

It is an arithmetic number, because the mean of its divisors is an integer number (2069866864188).

Almost surely, 2^{22545314566401} is an apocalyptic number.

It is an amenable number.

22545314566401 is a deficient number, since it is larger than the sum of its proper divisors (10572555260607).

22545314566401 is a wasteful number, since it uses less digits than its factorization.

22545314566401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764270912.

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 22545314566401 in words is "twenty-two trillion, five hundred forty-five billion, three hundred fourteen million, five hundred sixty-six thousand, four hundred one".