22879241400625 has 45 divisors (see below), whose sum is σ = 28731809135029. Its totient is φ = 18212990168000.

The previous prime is 22879241400623. The next prime is 22879241400629. The reversal of 22879241400625 is 52600414297822.

The square root of 22879241400625 is 4783225.

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

It can be written as a sum of positive squares in 22 ways, for example, as 22874343640369 + 4897760256 = 4782713^2 + 69984^2 .

It is not a de Polignac number, because 22879241400625 - 2¹ = 22879241400623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22879241400623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35037122799 + ... + 35037123451.

Almost surely, 2^{22879241400625} is an apocalyptic number.

22879241400625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22879241400625 is the 4783225-th square number.

22879241400625 is the 2391613-rd centered octagonal number.

It is an amenable number.

22879241400625 is a deficient number, since it is larger than the sum of its proper divisors (5852567734404).

22879241400625 is an frugal number, since it uses more digits than its factorization.

22879241400625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 22879241400625 in words is "twenty-two trillion, eight hundred seventy-nine billion, two hundred forty-one million, four hundred thousand, six hundred twenty-five".