11726624606013 has 48 divisors (see below), whose sum is σ = 17511934003200. Its totient is φ = 7556755368960.

The previous prime is 11726624605999. The next prime is 11726624606027. The reversal of 11726624606013 is 31060642662711.

11726624606013 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 6 + 6 + 24 + 606 + 0 + 13 = 666.

11726624606013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11726624605999) and next prime (11726624606027).

It is not a de Polignac number, because 11726624606013 - 2³⁰ = 11725550864189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11726624606013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11726624656013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34462453 + ... + 34801061.

It is an arithmetic number, because the mean of its divisors is an integer number (364831958400).

Almost surely, 2^{11726624606013} is an apocalyptic number.

It is an amenable number.

11726624606013 is a deficient number, since it is larger than the sum of its proper divisors (5785309397187).

11726624606013 is a wasteful number, since it uses less digits than its factorization.

11726624606013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339522 (or 339519 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11726624606013 in words is "eleven trillion, seven hundred twenty-six billion, six hundred twenty-four million, six hundred six thousand, thirteen".