225177803136 has 768 divisors, whose sum is σ = 786994790400. Its totient is φ = 60894167040.

The previous prime is 225177803129. The next prime is 225177803167. The reversal of 225177803136 is 631308771522.

225177803136 is a `hidden beast` number, since 2 + 2 + 517 + 78 + 0 + 31 + 36 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225177803091 and 225177803100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983309070 + ... + 983309298.

It is an arithmetic number, because the mean of its divisors is an integer number (1024732800).

Almost surely, 2^225177803136 is an apocalyptic number.

225177803136 is a gapful number since it is divisible by the number (26) 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 225177803136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393497395200).

225177803136 is an abundant number, since it is smaller than the sum of its proper divisors (561816987264).

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

225177803136 is a wasteful number, since it uses less digits than its factorization.

225177803136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 225177803136 in words is "two hundred twenty-five billion, one hundred seventy-seven million, eight hundred three thousand, one hundred thirty-six".