11857968046017 has 12 divisors (see below), whose sum is σ = 17151543301204. Its totient is φ = 7894527153120.

The previous prime is 11857968046013. The next prime is 11857968046019. The reversal of 11857968046017 is 71064086975811.

11857968046017 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 96 + 80 + 460 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10992666239361 + 865301806656 = 3315519^2 + 930216^2 .

It is not a de Polignac number, because 11857968046017 - 2² = 11857968046013 is a prime.

It is a super-2 number, since 2×11857968046017² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11857968046013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898732834 + ... + 898746027.

Almost surely, 2^{11857968046017} is an apocalyptic number.

It is an amenable number.

11857968046017 is a deficient number, since it is larger than the sum of its proper divisors (5293575255187).

11857968046017 is a wasteful number, since it uses less digits than its factorization.

11857968046017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797479600 (or 1797479597 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 11857968046017 in words is "eleven trillion, eight hundred fifty-seven billion, nine hundred sixty-eight million, forty-six thousand, seventeen".