89141961216 has 640 divisors, whose sum is σ = 313611927552. Its totient is φ = 21823488000.

The previous prime is 89141961179. The next prime is 89141961221. The reversal of 89141961216 is 61216914198.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150323416 + ... + 150324008.

Almost surely, 2^89141961216 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 89141961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156805963776).

89141961216 is an abundant number, since it is smaller than the sum of its proper divisors (224469966336).

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

89141961216 is a wasteful number, since it uses less digits than its factorization.

89141961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The spelling of 89141961216 in words is "eighty-nine billion, one hundred forty-one million, nine hundred sixty-one thousand, two hundred sixteen".