11649686638257 has 16 divisors (see below), whose sum is σ = 17584432663680. Its totient is φ = 7619920819056.

The previous prime is 11649686638243. The next prime is 11649686638259. The reversal of 11649686638257 is 75283668694611.

11649686638257 is a `hidden beast` number, since 1 + 1 + 6 + 496 + 8 + 6 + 6 + 3 + 82 + 57 = 666.

It is not a de Polignac number, because 11649686638257 - 2⁴ = 11649686638241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11649686638259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4070469093 + ... + 4070471954.

It is an arithmetic number, because the mean of its divisors is an integer number (1099027041480).

Almost surely, 2^{11649686638257} is an apocalyptic number.

It is an amenable number.

11649686638257 is a deficient number, since it is larger than the sum of its proper divisors (5934746025423).

11649686638257 is an equidigital number, since it uses as much as digits as its factorization.

11649686638257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140941109 (or 8140941103 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

It can be divided in two parts, 1164968 and 6638257, that added together give a triangular number (7803225 = T₃₉₅₀).

The spelling of 11649686638257 in words is "eleven trillion, six hundred forty-nine billion, six hundred eighty-six million, six hundred thirty-eight thousand, two hundred fifty-seven".