116458288128 has 264 divisors, whose sum is σ = 413874709248. Its totient is φ = 30714052608.

The previous prime is 116458288097. The next prime is 116458288151. The reversal of 116458288128 is 821882854611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769225 + ... + 908087.

It is an arithmetic number, because the mean of its divisors is an integer number (1567707232).

Almost surely, 2^116458288128 is an apocalyptic number.

116458288128 is a gapful number since it is divisible by the number (18) 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 116458288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206937354624).

116458288128 is an abundant number, since it is smaller than the sum of its proper divisors (297416421120).

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

116458288128 is a wasteful number, since it uses less digits than its factorization.

116458288128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138909 (or 138888 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 54.

The spelling of 116458288128 in words is "one hundred sixteen billion, four hundred fifty-eight million, two hundred eighty-eight thousand, one hundred twenty-eight".