89884836864 has 231 divisors, whose sum is σ = 270178209847. Its totient is φ = 29875267584.

The previous prime is 89884836829. The next prime is 89884836889. The reversal of 89884836864 is 46863848898.

The square root of 89884836864 is 299808.

It is a perfect power (a square), and thus also a powerful number.

89884836864 is a `hidden beast` number, since 8 + 9 + 88 + 483 + 6 + 8 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89884836792 and 89884836801.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 259033939 + ... + 259034285.

Almost surely, 2^89884836864 is an apocalyptic number.

89884836864 is the 299808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89884836864

89884836864 is an abundant number, since it is smaller than the sum of its proper divisors (180293372983).

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

89884836864 is an frugal number, since it uses more digits than its factorization.

89884836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 352 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 89884836864 in words is "eighty-nine billion, eight hundred eighty-four million, eight hundred thirty-six thousand, eight hundred sixty-four".