225290277504 has 128 divisors (see below), whose sum is σ = 665243020800. Its totient is φ = 75060191232.

The previous prime is 225290277467. The next prime is 225290277529. The reversal of 225290277504 is 405772092522.

225290277504 is a `hidden beast` number, since 2 + 2 + 52 + 90 + 2 + 7 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 225290277504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7612624 + ... + 7642160.

It is an arithmetic number, because the mean of its divisors is an integer number (5197211100).

Almost surely, 2^225290277504 is an apocalyptic number.

225290277504 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 225290277504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332621510400).

225290277504 is an abundant number, since it is smaller than the sum of its proper divisors (439952743296).

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

225290277504 is a wasteful number, since it uses less digits than its factorization.

225290277504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31767 (or 31749 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 225290277504 in words is "two hundred twenty-five billion, two hundred ninety million, two hundred seventy-seven thousand, five hundred four".