22457789271225 has 405 divisors, whose sum is σ = 51608849566365. Its totient is φ = 9308085494400.

The previous prime is 22457789271193. The next prime is 22457789271283. The reversal of 22457789271225 is 52217298775422.

It is a happy number.

The square root of 22457789271225 is 4738965.

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

22457789271225 is a `hidden beast` number, since 2 + 2 + 4 + 577 + 8 + 9 + 27 + 12 + 25 = 666.

22457789271225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 216227790009 + 22241561481216 = 465003^2 + 4716096^2 .

It is not a de Polignac number, because 22457789271225 - 2⁵ = 22457789271193 is a prime.

It is a super-2 number, since 2×22457789271225² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 60208550139 + ... + 60208550511.

Almost surely, 2^{22457789271225} is an apocalyptic number.

22457789271225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22457789271225 is the 4738965-th square number.

22457789271225 is the 2369483-rd centered octagonal number.

It is an amenable number.

22457789271225 is an abundant number, since it is smaller than the sum of its proper divisors (29151060295140).

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

22457789271225 is an frugal number, since it uses more digits than its factorization.

22457789271225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 399 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 63.

The spelling of 22457789271225 in words is "twenty-two trillion, four hundred fifty-seven billion, seven hundred eighty-nine million, two hundred seventy-one thousand, two hundred twenty-five".