225857722944 has 224 divisors, whose sum is σ = 719380019200. Its totient is φ = 61093232640.

The previous prime is 225857722913. The next prime is 225857723027. The reversal of 225857722944 is 449227758522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×225857722944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71269392 + ... + 71272560.

Almost surely, 2^225857722944 is an apocalyptic number.

225857722944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225857722944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359690009600).

225857722944 is an abundant number, since it is smaller than the sum of its proper divisors (493522296256).

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

225857722944 is a wasteful number, since it uses less digits than its factorization.

225857722944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6001 (or 5991 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 57.

The spelling of 225857722944 in words is "two hundred twenty-five billion, eight hundred fifty-seven million, seven hundred twenty-two thousand, nine hundred forty-four".