88494117513984 has 864 divisors, whose sum is σ = 343229984907264. Its totient is φ = 21257604956160.

The previous prime is 88494117513959. The next prime is 88494117514073. The reversal of 88494117513984 is 48931571149488.

88494117513984 is a `hidden beast` number, since 8 + 8 + 4 + 9 + 4 + 1 + 17 + 513 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110092477 + ... + 110893379.

It is an arithmetic number, because the mean of its divisors is an integer number (397256926976).

Almost surely, 2^{88494117513984} is an apocalyptic number.

88494117513984 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 88494117513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171614992453632).

88494117513984 is an abundant number, since it is smaller than the sum of its proper divisors (254735867393280).

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

88494117513984 is a wasteful number, since it uses less digits than its factorization.

88494117513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800993 (or 800976 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 88494117513984 in words is "eighty-eight trillion, four hundred ninety-four billion, one hundred seventeen million, five hundred thirteen thousand, nine hundred eighty-four".