88354218096 has 200 divisors, whose sum is σ = 259688031680. Its totient is φ = 28996890624.

The previous prime is 88354218079. The next prime is 88354218143. The reversal of 88354218096 is 69081245388.

88354218096 is a `hidden beast` number, since 8 + 8 + 3 + 542 + 1 + 8 + 0 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44331276 + ... + 44333268.

Almost surely, 2^88354218096 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 88354218096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129844015840).

88354218096 is an abundant number, since it is smaller than the sum of its proper divisors (171333813584).

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

88354218096 is a wasteful number, since it uses less digits than its factorization.

88354218096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 88354218096 in words is "eighty-eight billion, three hundred fifty-four million, two hundred eighteen thousand, ninety-six".