89114296320 has 720 divisors, whose sum is σ = 365094632448. Its totient is φ = 19676528640.

The previous prime is 89114296309. The next prime is 89114296321. The reversal of 89114296320 is 2369241198.

89114296320 is a `hidden beast` number, since 8 + 9 + 1 + 1 + 4 + 2 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89114296321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159989482 + ... + 159990038.

Almost surely, 2^89114296320 is an apocalyptic number.

89114296320 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 89114296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182547316224).

89114296320 is an abundant number, since it is smaller than the sum of its proper divisors (275980336128).

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

89114296320 is a wasteful number, since it uses less digits than its factorization.

89114296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 89114296320 in words is "eighty-nine billion, one hundred fourteen million, two hundred ninety-six thousand, three hundred twenty".