88268461344 has 384 divisors, whose sum is σ = 316837785600. Its totient is φ = 23332147200.

The previous prime is 88268461297. The next prime is 88268461357. The reversal of 88268461344 is 44316486288.

It is a happy number.

88268461344 is a `hidden beast` number, since 8 + 82 + 68 + 461 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 6058869 + ... + 6073419.

It is an arithmetic number, because the mean of its divisors is an integer number (825098400).

Almost surely, 2^88268461344 is an apocalyptic number.

88268461344 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 88268461344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158418892800).

88268461344 is an abundant number, since it is smaller than the sum of its proper divisors (228569324256).

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

88268461344 is a wasteful number, since it uses less digits than its factorization.

88268461344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14653 (or 14639 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 88268461344 in words is "eighty-eight billion, two hundred sixty-eight million, four hundred sixty-one thousand, three hundred forty-four".