116985204961 has 9 divisors (see below), whose sum is σ = 117614821779. Its totient is φ = 116358946200.

The previous prime is 116985204943. The next prime is 116985204971. The reversal of 116985204961 is 169402589611.

The square root of 116985204961 is 342031.

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., 89898628561 + 27086576400 = 299831^2 + 164580^2 .

It is not a de Polignac number, because 116985204961 - 2¹⁷ = 116985073889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 116985204899 and 116985204908.

It is not an unprimeable number, because it can be changed into a prime (116985204971) 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 8 ways as a sum of consecutive naturals, for example, 72167731 + ... + 72169351.

It is an arithmetic number, because the mean of its divisors is an integer number (13068313531).

Almost surely, 2^116985204961 is an apocalyptic number.

116985204961 is the 342031-st square number.

116985204961 is the 171016-th centered octagonal number.

It is an amenable number.

116985204961 is a deficient number, since it is larger than the sum of its proper divisors (629616818).

116985204961 is an frugal number, since it uses more digits than its factorization.

116985204961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 116985204961 in words is "one hundred sixteen billion, nine hundred eighty-five million, two hundred four thousand, nine hundred sixty-one".