88792848144 has 720 divisors, whose sum is σ = 345293649792. Its totient is φ = 20570112000.

The previous prime is 88792848119. The next prime is 88792848163. The reversal of 88792848144 is 44184829788.

88792848144 is a `hidden beast` number, since 88 + 79 + 2 + 8 + 481 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 138522064 + ... + 138522704.

Almost surely, 2^88792848144 is an apocalyptic number.

88792848144 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 88792848144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172646824896).

88792848144 is an abundant number, since it is smaller than the sum of its proper divisors (256500801648).

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

88792848144 is a wasteful number, since it uses less digits than its factorization.

88792848144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 708 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 88792848144 in words is "eighty-eight billion, seven hundred ninety-two million, eight hundred forty-eight thousand, one hundred forty-four".