116507435287321 has 49 divisors (see below), whose sum is σ = 134104910028181. Its totient is φ = 101219129299392.

The previous prime is 116507435287307. The next prime is 116507435287343. The reversal of 116507435287321 is 123782534705611.

It is a happy number.

The square root of 116507435287321 is 10793861.

The cubic root of 116507435287321 is 48841.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 24 ways, for example, as 9241229123721 + 107266206163600 = 3039939^2 + 10356940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-116507435287321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116507435284321) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 6853378546305 + ... + 6853378546321.

Almost surely, 2^{116507435287321} is an apocalyptic number.

116507435287321 is the 10793861-st square number.

116507435287321 is the 5396931-st centered octagonal number.

It is an amenable number.

116507435287321 is a deficient number, since it is larger than the sum of its proper divisors (17597474740860).

116507435287321 is an frugal number, since it uses more digits than its factorization.

116507435287321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 116507435287321 in words is "one hundred sixteen trillion, five hundred seven billion, four hundred thirty-five million, two hundred eighty-seven thousand, three hundred twenty-one".