11950643761 has 45 divisors (see below), whose sum is σ = 14725896171. Its totient is φ = 9697032576.

The previous prime is 11950643737. The next prime is 11950643821. The reversal of 11950643761 is 16734605911.

The square root of 11950643761 is 109319.

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., 5366295025 + 6584348736 = 73255^2 + 81144^2 .

It is not a de Polignac number, because 11950643761 - 2¹³ = 11950635569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11950643711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 123202465 + ... + 123202561.

Almost surely, 2^11950643761 is an apocalyptic number.

11950643761 is the 109319-th square number.

11950643761 is the 54660-th centered octagonal number.

It is an amenable number.

11950643761 is a deficient number, since it is larger than the sum of its proper divisors (2775252410).

11950643761 is an frugal number, since it uses more digits than its factorization.

11950643761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 11950643761 in words is "eleven billion, nine hundred fifty million, six hundred forty-three thousand, seven hundred sixty-one".