116407148256 has 288 divisors, whose sum is σ = 382584384000. Its totient is φ = 32886881280.

The previous prime is 116407148243. The next prime is 116407148311. The reversal of 116407148256 is 652841704611.

116407148256 is a `hidden beast` number, since 1 + 16 + 40 + 71 + 482 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71811126 + ... + 71812746.

It is an arithmetic number, because the mean of its divisors is an integer number (1328418000).

Almost surely, 2^116407148256 is an apocalyptic number.

116407148256 is a gapful number since it is divisible by the number (16) 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 116407148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191292192000).

116407148256 is an abundant number, since it is smaller than the sum of its proper divisors (266177235744).

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

116407148256 is a wasteful number, since it uses less digits than its factorization.

116407148256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 116407148256 in words is "one hundred sixteen billion, four hundred seven million, one hundred forty-eight thousand, two hundred fifty-six".