89331141816 has 512 divisors, whose sum is σ = 314523648000. Its totient is φ = 22904985600.

The previous prime is 89331141751. The next prime is 89331141853. The reversal of 89331141816 is 61814113398.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56573715 + ... + 56575293.

It is an arithmetic number, because the mean of its divisors is an integer number (614304000).

Almost surely, 2^89331141816 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 89331141816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157261824000).

89331141816 is an abundant number, since it is smaller than the sum of its proper divisors (225192506184).

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

89331141816 is a wasteful number, since it uses less digits than its factorization.

89331141816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 89331141816 in words is "eighty-nine billion, three hundred thirty-one million, one hundred forty-one thousand, eight hundred sixteen".