116634811761 has 16 divisors (see below), whose sum is σ = 186084030720. Its totient is φ = 71775268560.

The previous prime is 116634811753. The next prime is 116634811763. The reversal of 116634811761 is 167118436611.

116634811761 is a `hidden beast` number, since 1 + 1 + 6 + 634 + 8 + 1 + 1 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 116634811761 - 2³ = 116634811753 is a prime.

It is a super-2 number, since 2×116634811761² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116634811763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166146105 + ... + 166146806.

It is an arithmetic number, because the mean of its divisors is an integer number (11630251920).

Almost surely, 2^116634811761 is an apocalyptic number.

It is an amenable number.

116634811761 is a deficient number, since it is larger than the sum of its proper divisors (69449218959).

116634811761 is a wasteful number, since it uses less digits than its factorization.

116634811761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332292933 (or 332292927 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 116634811761 in words is "one hundred sixteen billion, six hundred thirty-four million, eight hundred eleven thousand, seven hundred sixty-one".