225054104616 has 240 divisors, whose sum is σ = 706783825440. Its totient is φ = 66352141440.

The previous prime is 225054104573. The next prime is 225054104677. The reversal of 225054104616 is 616401450522.

225054104616 is a `hidden beast` number, since 2 + 2 + 50 + 541 + 0 + 4 + 61 + 6 = 666.

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 59 ways as a sum of consecutive naturals, for example, 9746701 + ... + 9769763.

It is an arithmetic number, because the mean of its divisors is an integer number (2944932606).

Almost surely, 2^225054104616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225054104616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353391912720).

225054104616 is an abundant number, since it is smaller than the sum of its proper divisors (481729720824).

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

225054104616 is a wasteful number, since it uses less digits than its factorization.

225054104616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23166 (or 23116 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 225054104616 in words is "two hundred twenty-five billion, fifty-four million, one hundred four thousand, six hundred sixteen".