88814641888 has 168 divisors, whose sum is σ = 210853105344. Its totient is φ = 36787161600.

The previous prime is 88814641873. The next prime is 88814641897.

88814641888 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×88814641888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116707428 + ... + 116708188.

It is an arithmetic number, because the mean of its divisors is an integer number (1255078008).

Almost surely, 2^88814641888 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 88814641888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105426552672).

88814641888 is an abundant number, since it is smaller than the sum of its proper divisors (122038463456).

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

88814641888 is an frugal number, since it uses more digits than its factorization.

88814641888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 801 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 64.

The spelling of 88814641888 in words is "eighty-eight billion, eight hundred fourteen million, six hundred forty-one thousand, eight hundred eighty-eight".