22561401344100 has 72 divisors (see below), whose sum is σ = 65281646478048. Its totient is φ = 6016005772800.

The previous prime is 22561401344093. The next prime is 22561401344101. The reversal of 22561401344100 is 144310416522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22561401344101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2632012 + ... + 7214588.

Almost surely, 2^{22561401344100} is an apocalyptic number.

22561401344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22561401344100 is an abundant number, since it is smaller than the sum of its proper divisors (42720245133948).

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

22561401344100 is a wasteful number, since it uses less digits than its factorization.

22561401344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599005 (or 4598998 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 22561401344100 in words is "twenty-two trillion, five hundred sixty-one billion, four hundred one million, three hundred forty-four thousand, one hundred".