88251918048 has 648 divisors, whose sum is σ = 316090593000. Its totient is φ = 23222578176.

The previous prime is 88251918047. The next prime is 88251918089. The reversal of 88251918048 is 84081915288.

88251918048 is a `hidden beast` number, since 8 + 8 + 2 + 519 + 1 + 80 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88251917985 and 88251918003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88251918047) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 592294678 + ... + 592294826.

It is an arithmetic number, because the mean of its divisors is an integer number (487794125).

Almost surely, 2^88251918048 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 88251918048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158045296500).

88251918048 is an abundant number, since it is smaller than the sum of its proper divisors (227838674952).

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

88251918048 is a wasteful number, since it uses less digits than its factorization.

88251918048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 88251918048 in words is "eighty-eight billion, two hundred fifty-one million, nine hundred eighteen thousand, forty-eight".