225379166439600 has 240 divisors, whose sum is σ = 828059753482240. Its totient is φ = 58162365446400.

The previous prime is 225379166439587. The next prime is 225379166439607. The reversal of 225379166439600 is 6934661973522.

225379166439600 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 7 + 9 + 16 + 6 + 4 + 3 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (225379166439607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336252964 + ... + 336922563.

Almost surely, 2^{225379166439600} is an apocalyptic number.

225379166439600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225379166439600 is an abundant number, since it is smaller than the sum of its proper divisors (602680587042640).

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

225379166439600 is a wasteful number, since it uses less digits than its factorization.

225379166439600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673175585 (or 673175568 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 225379166439600 in words is "two hundred twenty-five trillion, three hundred seventy-nine billion, one hundred sixty-six million, four hundred thirty-nine thousand, six hundred".