88624442688 has 112 divisors (see below), whose sum is σ = 251484505920. Its totient is φ = 27458555904.

The previous prime is 88624442663. The next prime is 88624442713.

88624442688 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (88624442663) and next prime (88624442713).

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 15 ways as a sum of consecutive naturals, for example, 35845 + ... + 422532.

Almost surely, 2^88624442688 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 88624442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125742252960).

88624442688 is an abundant number, since it is smaller than the sum of its proper divisors (162860063232).

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

88624442688 is a wasteful number, since it uses less digits than its factorization.

88624442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458464 (or 458454 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 60.

The spelling of 88624442688 in words is "eighty-eight billion, six hundred twenty-four million, four hundred forty-two thousand, six hundred eighty-eight".