115889736144 has 480 divisors, whose sum is σ = 384440394240. Its totient is φ = 29808221184.

The previous prime is 115889736133. The next prime is 115889736161. The reversal of 115889736144 is 441637988511.

115889736144 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 409504227 + ... + 409504509.

It is an arithmetic number, because the mean of its divisors is an integer number (800917488).

Almost surely, 2^115889736144 is an apocalyptic number.

115889736144 is a gapful number since it is divisible by the number (14) 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 115889736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192220197120).

115889736144 is an abundant number, since it is smaller than the sum of its proper divisors (268550658096).

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

115889736144 is a wasteful number, since it uses less digits than its factorization.

115889736144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The spelling of 115889736144 in words is "one hundred fifteen billion, eight hundred eighty-nine million, seven hundred thirty-six thousand, one hundred forty-four".