11564624551401 has 24 divisors (see below), whose sum is σ = 16740928844640. Its totient is φ = 7692918247296.

The previous prime is 11564624551399. The next prime is 11564624551423. The reversal of 11564624551401 is 10415542646511.

It is a happy number.

11564624551401 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 624 + 5 + 5 + 14 + 0 + 1 = 666.

11564624551401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11564624551401 - 2¹ = 11564624551399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11564624551801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141764241 + ... + 141845793.

It is an arithmetic number, because the mean of its divisors is an integer number (697538701860).

Almost surely, 2^{11564624551401} is an apocalyptic number.

It is an amenable number.

11564624551401 is a deficient number, since it is larger than the sum of its proper divisors (5176304293239).

11564624551401 is a wasteful number, since it uses less digits than its factorization.

11564624551401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115765 (or 115762 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 11564624551401 in words is "eleven trillion, five hundred sixty-four billion, six hundred twenty-four million, five hundred fifty-one thousand, four hundred one".