225762466140 has 120 divisors (see below), whose sum is σ = 745500330960. Its totient is φ = 57034720512.

The previous prime is 225762466123. The next prime is 225762466151. The reversal of 225762466140 is 41664267522.

225762466140 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 6 + 24 + 6 + 614 + 0 = 666.

It is a super-2 number, since 2×225762466140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3636577 + ... + 3698136.

It is an arithmetic number, because the mean of its divisors is an integer number (6212502758).

Almost surely, 2^225762466140 is an apocalyptic number.

225762466140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225762466140 is an abundant number, since it is smaller than the sum of its proper divisors (519737864820).

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

225762466140 is a wasteful number, since it uses less digits than its factorization.

225762466140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7334753 (or 7334742 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 225762466140 in words is "two hundred twenty-five billion, seven hundred sixty-two million, four hundred sixty-six thousand, one hundred forty".