116671431184 has 135 divisors (see below), whose sum is σ = 289296425901. Its totient is φ = 45415413120.

The previous prime is 116671431139. The next prime is 116671431197. The reversal of 116671431184 is 481134176611.

The square root of 116671431184 is 341572.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1885991184 + 114785440000 = 43428^2 + 338800^2 .

It is a super-2 number, since 2×116671431184² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116671431184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105203622 + ... + 105204730.

Almost surely, 2^116671431184 is an apocalyptic number.

116671431184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116671431184 is the 341572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116671431184

116671431184 is an abundant number, since it is smaller than the sum of its proper divisors (172624994717).

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

116671431184 is an equidigital number, since it uses as much as digits as its factorization.

116671431184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 1129 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The spelling of 116671431184 in words is "one hundred sixteen billion, six hundred seventy-one million, four hundred thirty-one thousand, one hundred eighty-four".