88863948264 has 256 divisors, whose sum is σ = 280446566400. Its totient is φ = 22837635072.

The previous prime is 88863948263. The next prime is 88863948269. The reversal of 88863948264 is 46284936888.

It is a super-2 number, since 2×88863948264² (a number of 23 digits) contains 22 as substring.

Its product of digits (127401984) is a multiple of the sum of its prime factors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 88863948195 and 88863948204.

It is not an unprimeable number, because it can be changed into a prime (88863948263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53435097 + ... + 53436759.

It is an arithmetic number, because the mean of its divisors is an integer number (1095494400).

Almost surely, 2^88863948264 is an apocalyptic number.

88863948264 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 88863948264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140223283200).

88863948264 is an abundant number, since it is smaller than the sum of its proper divisors (191582618136).

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

88863948264 is a wasteful number, since it uses less digits than its factorization.

88863948264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2300 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 66.

The spelling of 88863948264 in words is "eighty-eight billion, eight hundred sixty-three million, nine hundred forty-eight thousand, two hundred sixty-four".