116456418144 has 192 divisors, whose sum is σ = 386654446080. Its totient is φ = 33755420160.

The previous prime is 116456418103. The next prime is 116456418161. The reversal of 116456418144 is 441814654611.

116456418144 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 564 + 1 + 81 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 116456418144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47787 + ... + 484970.

It is an arithmetic number, because the mean of its divisors is an integer number (2013825240).

Almost surely, 2^116456418144 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 116456418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193327223040).

116456418144 is an abundant number, since it is smaller than the sum of its proper divisors (270198027936).

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

116456418144 is a wasteful number, since it uses less digits than its factorization.

116456418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532810 (or 532796 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 116456418144 in words is "one hundred sixteen billion, four hundred fifty-six million, four hundred eighteen thousand, one hundred forty-four".