88161486400 has 189 divisors, whose sum is σ = 235315194723. Its totient is φ = 32494924800.

The previous prime is 88161486349. The next prime is 88161486403. The reversal of 88161486400 is 468416188.

The square root of 88161486400 is 296920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22723753536 + 65437732864 = 150744^2 + 255808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88161486403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154398115 + ... + 154398685.

Almost surely, 2^88161486400 is an apocalyptic number.

88161486400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88161486400 is the 296920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88161486400

88161486400 is an abundant number, since it is smaller than the sum of its proper divisors (147153708323).

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

88161486400 is an equidigital number, since it uses as much as digits as its factorization.

88161486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The spelling of 88161486400 in words is "eighty-eight billion, one hundred sixty-one million, four hundred eighty-six thousand, four hundred".