88544741376 has 768 divisors, whose sum is σ = 309967257600. Its totient is φ = 21849440256.

The previous prime is 88544741353. The next prime is 88544741381. The reversal of 88544741376 is 67314744588.

It is a tau number, because it is divible by the number of its divisors (768).

Its product of digits (18063360) is a multiple of the sum of its prime divisors (224).

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, 697202625 + ... + 697202751.

It is an arithmetic number, because the mean of its divisors is an integer number (403603200).

Almost surely, 2^88544741376 is an apocalyptic number.

88544741376 is a gapful number since it is divisible by the number (86) 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 88544741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154983628800).

88544741376 is an abundant number, since it is smaller than the sum of its proper divisors (221422516224).

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

88544741376 is a wasteful number, since it uses less digits than its factorization.

88544741376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 57.

The spelling of 88544741376 in words is "eighty-eight billion, five hundred forty-four million, seven hundred forty-one thousand, three hundred seventy-six".