11564460090 has 48 divisors (see below), whose sum is σ = 30110652936. Its totient is φ = 3079440000.

The previous prime is 11564459993. The next prime is 11564460091. The reversal of 11564460090 is 9006446511.

11564460090 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 44 + 600 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10982830401 + 581629689 = 104799^2 + 24117^2 .

It is not an unprimeable number, because it can be changed into a prime (11564460091) 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, 28561 + ... + 154740.

Almost surely, 2^11564460090 is an apocalyptic number.

11564460090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11564460090 is an abundant number, since it is smaller than the sum of its proper divisors (18546192846).

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

11564460090 is a wasteful number, since it uses less digits than its factorization.

11564460090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184015 (or 184012 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11564460090 in words is "eleven billion, five hundred sixty-four million, four hundred sixty thousand, ninety".