88508630016 has 165 divisors, whose sum is σ = 264560181501. Its totient is φ = 29474316288.

The previous prime is 88508629997. The next prime is 88508630047. The reversal of 88508630016 is 61003680588.

The square root of 88508630016 is 297504.

It is a perfect power (a square), and thus also a powerful number.

88508630016 is a `hidden beast` number, since 8 + 8 + 5 + 0 + 8 + 630 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85450982400 + 3057647616 = 292320^2 + 55296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85680636 + ... + 85681668.

Almost surely, 2^88508630016 is an apocalyptic number.

88508630016 is the 297504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88508630016

88508630016 is an abundant number, since it is smaller than the sum of its proper divisors (176051551485).

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

88508630016 is an frugal number, since it uses more digits than its factorization.

88508630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 88508630016 in words is "eighty-eight billion, five hundred eight million, six hundred thirty thousand, sixteen".