89485460064 has 1728 divisors, whose sum is σ = 393491105280. Its totient is φ = 18513100800.

The previous prime is 89485460021. The next prime is 89485460123. The reversal of 89485460064 is 46006458498.

89485460064 is a `hidden beast` number, since 8 + 94 + 8 + 546 + 0 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2886627729 + ... + 2886627759.

It is an arithmetic number, because the mean of its divisors is an integer number (227714760).

Almost surely, 2^89485460064 is an apocalyptic number.

89485460064 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 89485460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196745552640).

89485460064 is an abundant number, since it is smaller than the sum of its proper divisors (304005645216).

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

89485460064 is a wasteful number, since it uses less digits than its factorization.

89485460064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 89485460064 in words is "eighty-nine billion, four hundred eighty-five million, four hundred sixty thousand, sixty-four".