118116629761 has 9 divisors (see below), whose sum is σ = 127906277481. Its totient is φ = 109026610992.

The previous prime is 118116629711. The next prime is 118116629779. The reversal of 118116629761 is 167926611811.

The square root of 118116629761 is 343681.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83156161 + 118033473600 = 9119^2 + 343560^2 .

It is not a de Polignac number, because 118116629761 - 2²¹ = 118114532609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118116629711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4454635 + ... + 4481071.

It is an arithmetic number, because the mean of its divisors is an integer number (14211808609).

Almost surely, 2^118116629761 is an apocalyptic number.

118116629761 is the 343681-st square number.

118116629761 is the 171841-st centered octagonal number.

It is an amenable number.

118116629761 is a deficient number, since it is larger than the sum of its proper divisors (9789647720).

118116629761 is an frugal number, since it uses more digits than its factorization.

118116629761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52900 (or 26450 counting only the distinct ones).

The product of its digits is 217728, while the sum is 49.

Multiplying 118116629761 by its sum of digits (49), we get a square (5787714858289 = 2405767²).

The spelling of 118116629761 in words is "one hundred eighteen billion, one hundred sixteen million, six hundred twenty-nine thousand, seven hundred sixty-one".