89995000914 has 384 divisors, whose sum is σ = 261750128640. Its totient is φ = 22538767104.

The previous prime is 89995000873. The next prime is 89995000937. The reversal of 89995000914 is 41900059998.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 89995000914 = 951³ + 4467³ = 1579³ + 4415³.

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 191 ways as a sum of consecutive naturals, for example, 70362927 + ... + 70364205.

It is an arithmetic number, because the mean of its divisors is an integer number (681640960).

Almost surely, 2^89995000914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89995000914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130875064320).

89995000914 is an abundant number, since it is smaller than the sum of its proper divisors (171755127726).

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

89995000914 is a wasteful number, since it uses less digits than its factorization.

89995000914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 89995000914 in words is "eighty-nine billion, nine hundred ninety-five million, nine hundred fourteen", and thus it is an aban number.