11757281761 has 9 divisors (see below), whose sum is σ = 12179942931. Its totient is φ = 11348822184.

The previous prime is 11757281741. The next prime is 11757281773. The reversal of 11757281761 is 16718275711.

It is a happy number.

The square root of 11757281761 is 108431.

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., 6165233361 + 5592048400 = 78519^2 + 74780^2 .

It is not a de Polignac number, because 11757281761 - 2¹³ = 11757273569 is a prime.

It is a super-2 number, since 2×11757281761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11757281741) 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, 3142630 + ... + 3146368.

Almost surely, 2^11757281761 is an apocalyptic number.

11757281761 is the 108431-st square number.

11757281761 is the 54216-th centered octagonal number.

It is an amenable number.

11757281761 is a deficient number, since it is larger than the sum of its proper divisors (422661170).

11757281761 is an frugal number, since it uses more digits than its factorization.

11757281761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7536 (or 3768 counting only the distinct ones).

The product of its digits is 164640, while the sum is 46.

The spelling of 11757281761 in words is "eleven billion, seven hundred fifty-seven million, two hundred eighty-one thousand, seven hundred sixty-one".