116172831456 has 288 divisors, whose sum is σ = 398195336448. Its totient is φ = 31692165120.

The previous prime is 116172831451. The next prime is 116172831487. The reversal of 116172831456 is 654138271611.

116172831456 is a `hidden beast` number, since 1 + 1 + 617 + 28 + 3 + 1 + 4 + 5 + 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 2×116172831456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116172831451) by changing a digit.

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, 1191795 + ... + 1285581.

It is an arithmetic number, because the mean of its divisors is an integer number (1382622696).

Almost surely, 2^116172831456 is an apocalyptic number.

116172831456 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 116172831456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199097668224).

116172831456 is an abundant number, since it is smaller than the sum of its proper divisors (282022504992).

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

116172831456 is a wasteful number, since it uses less digits than its factorization.

116172831456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93854 (or 93843 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 116172831456 in words is "one hundred sixteen billion, one hundred seventy-two million, eight hundred thirty-one thousand, four hundred fifty-six".