22538716641 has 45 divisors (see below), whose sum is σ = 39182360481. Its totient is φ = 12873862008.

The previous prime is 22538716631. The next prime is 22538716679. The reversal of 22538716641 is 14661783522.

The square root of 22538716641 is 150129.

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

22538716641 is a `hidden beast` number, since 2 + 2 + 538 + 71 + 6 + 6 + 41 = 666.

It is not a de Polignac number, because 22538716641 - 2³¹ = 20391232993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22538716601) 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 44 ways as a sum of consecutive naturals, for example, 9456936 + ... + 9459318.

Almost surely, 2^22538716641 is an apocalyptic number.

22538716641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22538716641 is the 150129-th square number.

22538716641 is the 75065-th centered octagonal number.

It is an amenable number.

22538716641 is a deficient number, since it is larger than the sum of its proper divisors (16643643840).

22538716641 is an frugal number, since it uses more digits than its factorization.

22538716641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4792 (or 2393 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 22538716641 in words is "twenty-two billion, five hundred thirty-eight million, seven hundred sixteen thousand, six hundred forty-one".