89338897664 has 72 divisors (see below), whose sum is σ = 183156278760. Its totient is φ = 43465932800.

The previous prime is 89338897651. The next prime is 89338897691. The reversal of 89338897664 is 46679883398.

It can be written as a sum of positive squares in 4 ways, for example, as 12170502400 + 77168395264 = 110320^2 + 277792^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4072004 + ... + 4093884.

It is an arithmetic number, because the mean of its divisors is an integer number (2543837205).

Almost surely, 2^89338897664 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 89338897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91578139380).

89338897664 is an abundant number, since it is smaller than the sum of its proper divisors (93817381096).

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

89338897664 is a wasteful number, since it uses less digits than its factorization.

89338897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22327 (or 22313 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 71.

The spelling of 89338897664 in words is "eighty-nine billion, three hundred thirty-eight million, eight hundred ninety-seven thousand, six hundred sixty-four".