225363252104100 has 216 divisors, whose sum is σ = 771705057090240. Its totient is φ = 54555577440000.

The previous prime is 225363252104099. The next prime is 225363252104113. The reversal of 225363252104100 is 1401252363522.

225363252104100 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 6 + 3 + 25 + 210 + 410 + 0 = 666.

It is a super-2 number, since 2×225363252104100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9296880 + ... + 23176679.

It is an arithmetic number, because the mean of its divisors is an integer number (3572708597640).

Almost surely, 2^{225363252104100} is an apocalyptic number.

225363252104100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225363252104100 is an abundant number, since it is smaller than the sum of its proper divisors (546341804986140).

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

225363252104100 is a wasteful number, since it uses less digits than its factorization.

225363252104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32474291 (or 32474281 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 225363252104100 in words is "two hundred twenty-five trillion, three hundred sixty-three billion, two hundred fifty-two million, one hundred four thousand, one hundred".