11305556712 has 48 divisors (see below), whose sum is σ = 31950491040. Its totient is φ = 3604669728.

The previous prime is 11305556711. The next prime is 11305556737. The reversal of 11305556712 is 21765550311.

It is a happy number.

11305556712 is a `hidden beast` number, since 1 + 1 + 30 + 5 + 556 + 71 + 2 = 666.

11305556712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11305556712² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11305556711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3411858 + ... + 3415169.

It is an arithmetic number, because the mean of its divisors is an integer number (665635230).

Almost surely, 2^11305556712 is an apocalyptic number.

11305556712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11305556712 is an abundant number, since it is smaller than the sum of its proper divisors (20644934328).

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

11305556712 is a wasteful number, since it uses less digits than its factorization.

11305556712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827062 (or 6827055 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 11305556712 in words is "eleven billion, three hundred five million, five hundred fifty-six thousand, seven hundred twelve".