116363536641 has 27 divisors (see below), whose sum is σ = 184767695203. Its totient is φ = 70516533120.

The previous prime is 116363536609. The next prime is 116363536649. The reversal of 116363536641 is 146635363611.

The square root of 116363536641 is 341121.

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

116363536641 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 635 + 3 + 6 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5010516225 + 111353020416 = 70785^2 + 333696^2 .

It is not a de Polignac number, because 116363536641 - 2⁵ = 116363536609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116363536649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11251825 + ... + 11262161.

Almost surely, 2^116363536641 is an apocalyptic number.

116363536641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116363536641 is the 341121-st square number.

116363536641 is the 170561-st centered octagonal number.

It is an amenable number.

116363536641 is a deficient number, since it is larger than the sum of its proper divisors (68404158562).

116363536641 is an frugal number, since it uses more digits than its factorization.

116363536641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20702 (or 10351 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 116363536641 in words is "one hundred sixteen billion, three hundred sixty-three million, five hundred thirty-six thousand, six hundred forty-one".