116056440197856 has 288 divisors, whose sum is σ = 361311581030400. Its totient is φ = 35207494732800.

The previous prime is 116056440197767. The next prime is 116056440197899. The reversal of 116056440197856 is 658791044650611.

116056440197856 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 5 + 64 + 401 + 97 + 85 + 6 = 666.

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

It is a super-2 number, since 2×116056440197856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116056440197793 and 116056440197802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12366681 + ... + 19622631.

It is an arithmetic number, because the mean of its divisors is an integer number (1254554100800).

Almost surely, 2^{116056440197856} is an apocalyptic number.

116056440197856 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 116056440197856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180655790515200).

116056440197856 is an abundant number, since it is smaller than the sum of its proper divisors (245255140832544).

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

116056440197856 is a wasteful number, since it uses less digits than its factorization.

116056440197856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256102 (or 7256091 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 116056440197856 in words is "one hundred sixteen trillion, fifty-six billion, four hundred forty million, one hundred ninety-seven thousand, eight hundred fifty-six".