89064546984 has 576 divisors, whose sum is σ = 315950544000. Its totient is φ = 22481141760.

The previous prime is 89064546979. The next prime is 89064547021. The reversal of 89064546984 is 48964546098.

89064546984 is a `hidden beast` number, since 8 + 9 + 0 + 6 + 4 + 546 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63210472 + ... + 63211880.

It is an arithmetic number, because the mean of its divisors is an integer number (548525250).

Almost surely, 2^89064546984 is an apocalyptic number.

89064546984 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 89064546984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157975272000).

89064546984 is an abundant number, since it is smaller than the sum of its proper divisors (226885997016).

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

89064546984 is a wasteful number, since it uses less digits than its factorization.

89064546984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 89064546984 in words is "eighty-nine billion, sixty-four million, five hundred forty-six thousand, nine hundred eighty-four".