89919462899712 has 272 divisors, whose sum is σ = 246391669785600. Its totient is φ = 29154967289856.

The previous prime is 89919462899689. The next prime is 89919462899771. The reversal of 89919462899712 is 21799826491998.

It is a happy number.

89919462899712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1506184039 + ... + 1506243737.

Almost surely, 2^{89919462899712} 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 89919462899712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123195834892800).

89919462899712 is an abundant number, since it is smaller than the sum of its proper divisors (156472206885888).

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

89919462899712 is an equidigital number, since it uses as much as digits as its factorization.

89919462899712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59944 (or 59914 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 84.

The spelling of 89919462899712 in words is "eighty-nine trillion, nine hundred nineteen billion, four hundred sixty-two million, eight hundred ninety-nine thousand, seven hundred twelve".