88613382400 has 135 divisors (see below), whose sum is σ = 222987499805. Its totient is φ = 34864281600.

The previous prime is 88613382373. The next prime is 88613382449. The reversal of 88613382400 is 428331688.

The square root of 88613382400 is 297680.

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

It can be written as a sum of positive squares in 7 ways, for example, as 63238166784 + 25375215616 = 251472^2 + 159296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1452678370 + ... + 1452678430.

Almost surely, 2^88613382400 is an apocalyptic number.

88613382400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88613382400 is the 297680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88613382400

88613382400 is an abundant number, since it is smaller than the sum of its proper divisors (134374117405).

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

88613382400 is an frugal number, since it uses more digits than its factorization.

88613382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 88613382400 in words is "eighty-eight billion, six hundred thirteen million, three hundred eighty-two thousand, four hundred".