89654283264 has 352 divisors, whose sum is σ = 298314648576. Its totient is φ = 23306895360.

The previous prime is 89654283263. The next prime is 89654283347. The reversal of 89654283264 is 46238245698.

It is not an unprimeable number, because it can be changed into a prime (89654283263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19845934 + ... + 19850450.

Almost surely, 2^89654283264 is an apocalyptic number.

89654283264 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 89654283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149157324288).

89654283264 is an abundant number, since it is smaller than the sum of its proper divisors (208660365312).

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

89654283264 is a wasteful number, since it uses less digits than its factorization.

89654283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4613 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 89654283264 in words is "eighty-nine billion, six hundred fifty-four million, two hundred eighty-three thousand, two hundred sixty-four".