88242188664 has 256 divisors, whose sum is σ = 264722411520. Its totient is φ = 23990123520.

The previous prime is 88242188653. The next prime is 88242188707. The reversal of 88242188664 is 46688124288.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49379179 + ... + 49380965.

It is an arithmetic number, because the mean of its divisors is an integer number (1034071920).

Almost surely, 2^88242188664 is an apocalyptic number.

88242188664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88242188664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132361205760).

88242188664 is an abundant number, since it is smaller than the sum of its proper divisors (176480222856).

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

88242188664 is a wasteful number, since it uses less digits than its factorization.

88242188664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2014 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 57.

The spelling of 88242188664 in words is "eighty-eight billion, two hundred forty-two million, one hundred eighty-eight thousand, six hundred sixty-four".