11667402714564 has 81 divisors (see below), whose sum is σ = 29804861606247. Its totient is φ = 3848384245248.

The previous prime is 11667402714559. The next prime is 11667402714581. The reversal of 11667402714564 is 46541720476611.

The square root of 11667402714564 is 3415758.

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

11667402714564 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 4 + 0 + 2 + 71 + 4 + 564 = 666.

11667402714564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2893911322500 + 8773491392064 = 1701150^2 + 2962008^2 .

It is a super-2 number, since 2×11667402714564² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11667402714564.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1987968222 + ... + 1987974090.

Almost surely, 2^{11667402714564} is an apocalyptic number.

11667402714564 is the 3415758-th square number.

It is an amenable number.

11667402714564 is an abundant number, since it is smaller than the sum of its proper divisors (18137458891683).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11667402714564 is an frugal number, since it uses more digits than its factorization.

11667402714564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 11667402714564 in words is "eleven trillion, six hundred sixty-seven billion, four hundred two million, seven hundred fourteen thousand, five hundred sixty-four".