11552164042601 has 12 divisors (see below), whose sum is σ = 14471941768452. Its totient is φ = 9140173747488.

The previous prime is 11552164042591. The next prime is 11552164042607. The reversal of 11552164042601 is 10624046125511.

It can be written as a sum of positive squares in 2 ways, for example, as 4225803816976 + 7326360225625 = 2055676^2 + 2706725^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11552164042601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11552164042607) 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, 9067632050 + ... + 9067633323.

It is an arithmetic number, because the mean of its divisors is an integer number (1205995147371).

Almost surely, 2^{11552164042601} is an apocalyptic number.

It is an amenable number.

11552164042601 is a deficient number, since it is larger than the sum of its proper divisors (2919777725851).

11552164042601 is a wasteful number, since it uses less digits than its factorization.

11552164042601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18135265400 (or 18135265393 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 11552164042601 in words is "eleven trillion, five hundred fifty-two billion, one hundred sixty-four million, forty-two thousand, six hundred one".