88494000768 has 320 divisors, whose sum is σ = 268008998400. Its totient is φ = 28982126592.

The previous prime is 88494000761. The next prime is 88494000809. The reversal of 88494000768 is 86700049488.

88494000768 is a `hidden beast` number, since 88 + 494 + 0 + 0 + 0 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (88494000761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184747153 + ... + 184747631.

It is an arithmetic number, because the mean of its divisors is an integer number (837528120).

Almost surely, 2^88494000768 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 88494000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134004499200).

88494000768 is an abundant number, since it is smaller than the sum of its proper divisors (179514997632).

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

88494000768 is a wasteful number, since it uses less digits than its factorization.

88494000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 88494000768 in words is "eighty-eight billion, four hundred ninety-four million, seven hundred sixty-eight", and thus it is an aban number.