89134849440 has 1728 divisors, whose sum is σ = 408450107520. Its totient is φ = 18184642560.

The previous prime is 89134849439. The next prime is 89134849469. The reversal of 89134849440 is 4494843198.

89134849440 is a `hidden beast` number, since 8 + 91 + 34 + 84 + 9 + 440 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1461227010 + ... + 1461227070.

It is an arithmetic number, because the mean of its divisors is an integer number (236371590).

Almost surely, 2^89134849440 is an apocalyptic number.

89134849440 is a gapful number since it is divisible by the number (80) 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 89134849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204225053760).

89134849440 is an abundant number, since it is smaller than the sum of its proper divisors (319315258080).

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

89134849440 is a wasteful number, since it uses less digits than its factorization.

89134849440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 89134849440 in words is "eighty-nine billion, one hundred thirty-four million, eight hundred forty-nine thousand, four hundred forty".