11565641411406 has 24 divisors (see below), whose sum is σ = 25060331977200. Its totient is φ = 3854991918816.

The previous prime is 11565641411383. The next prime is 11565641411417. The reversal of 11565641411406 is 60411414656511.

11565641411406 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 564 + 1 + 41 + 1 + 40 + 6 = 666.

It is a super-2 number, since 2×11565641411406² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18168831 + ... + 18794618.

It is an arithmetic number, because the mean of its divisors is an integer number (1044180499050).

Almost surely, 2^{11565641411406} is an apocalyptic number.

11565641411406 is an abundant number, since it is smaller than the sum of its proper divisors (13494690565794).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11565641411406 is a wasteful number, since it uses less digits than its factorization.

11565641411406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36980840 (or 36980837 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11565641411406 in words is "eleven trillion, five hundred sixty-five billion, six hundred forty-one million, four hundred eleven thousand, four hundred six".