225997553664 has 153 divisors (see below), whose sum is σ = 653933272863. Its totient is φ = 75210817536.

The previous prime is 225997553657. The next prime is 225997553681. The reversal of 225997553664 is 466355799522.

It is a happy number.

The square root of 225997553664 is 475392.

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

225997553664 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 97 + 5 + 536 + 6 + 4 = 666.

It is a super-2 number, since 2×225997553664² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 365100747 + ... + 365101365.

Almost surely, 2^225997553664 is an apocalyptic number.

225997553664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

225997553664 is the 475392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225997553664

225997553664 is an abundant number, since it is smaller than the sum of its proper divisors (427935719199).

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

225997553664 is an frugal number, since it uses more digits than its factorization.

225997553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 624 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 225997553664 in words is "two hundred twenty-five billion, nine hundred ninety-seven million, five hundred fifty-three thousand, six hundred sixty-four".