88613440128 has 160 divisors (see below), whose sum is σ = 264169525620. Its totient is φ = 29486592000.

The previous prime is 88613440109. The next prime is 88613440129. The reversal of 88613440128 is 82104431688.

88613440128 is a `hidden beast` number, since 8 + 8 + 613 + 4 + 4 + 0 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81745671744 + 6867768384 = 285912^2 + 82872^2 .

It is not an unprimeable number, because it can be changed into a prime (88613440129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6224058 + ... + 6238278.

Almost surely, 2^88613440128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88613440128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132084762810).

88613440128 is an abundant number, since it is smaller than the sum of its proper divisors (175556085492).

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

88613440128 is a wasteful number, since it uses less digits than its factorization.

88613440128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 88613440128 in words is "eighty-eight billion, six hundred thirteen million, four hundred forty thousand, one hundred twenty-eight".