89866174464 has 612 divisors, whose sum is σ = 309568730640. Its totient is φ = 25798901760.

The previous prime is 89866174427. The next prime is 89866174511. The reversal of 89866174464 is 46447166898.

89866174464 is a `hidden beast` number, since 8 + 9 + 8 + 6 + 617 + 4 + 4 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4729798647 + ... + 4729798665.

Almost surely, 2^89866174464 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 89866174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154784365320).

89866174464 is an abundant number, since it is smaller than the sum of its proper divisors (219702556176).

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

89866174464 is an frugal number, since it uses more digits than its factorization.

89866174464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 89866174464 in words is "eighty-nine billion, eight hundred sixty-six million, one hundred seventy-four thousand, four hundred sixty-four".