88164756225 has 144 divisors (see below), whose sum is σ = 195554067072. Its totient is φ = 36973946880.

The previous prime is 88164756217. The next prime is 88164756241. The reversal of 88164756225 is 52265746188.

88164756225 is a `hidden beast` number, since 8 + 8 + 1 + 6 + 4 + 7 + 5 + 622 + 5 = 666.

It is not a de Polignac number, because 88164756225 - 2³ = 88164756217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3324217 + ... + 3350633.

Almost surely, 2^88164756225 is an apocalyptic number.

It is an amenable number.

88164756225 is an abundant number, since it is smaller than the sum of its proper divisors (107389310847).

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

88164756225 is a wasteful number, since it uses less digits than its factorization.

88164756225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26616 (or 26608 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 88164756225 in words is "eighty-eight billion, one hundred sixty-four million, seven hundred fifty-six thousand, two hundred twenty-five".