116574083806752 has 2304 divisors, whose sum is σ = 436044018009600. Its totient is φ = 28990746132480.

The previous prime is 116574083806703. The next prime is 116574083806759. The reversal of 116574083806752 is 257608380475611.

It is a happy number.

116574083806752 is a `hidden beast` number, since 1 + 1 + 6 + 574 + 0 + 8 + 3 + 8 + 0 + 6 + 7 + 52 = 666.

It is a super-3 number, since 3×116574083806752³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116574083806752.

It is not an unprimeable number, because it can be changed into a prime (116574083806759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136025768308 + ... + 136025769164.

It is an arithmetic number, because the mean of its divisors is an integer number (189255216150).

Almost surely, 2^{116574083806752} is an apocalyptic number.

116574083806752 is a gapful number since it is divisible by the number (12) 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 116574083806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218022009004800).

116574083806752 is an abundant number, since it is smaller than the sum of its proper divisors (319469934202848).

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

116574083806752 is a wasteful number, since it uses less digits than its factorization.

116574083806752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 116574083806752 in words is "one hundred sixteen trillion, five hundred seventy-four billion, eighty-three million, eight hundred six thousand, seven hundred fifty-two".