11540917408 has 24 divisors (see below), whose sum is σ = 22770496980. Its totient is φ = 5757934080.

The previous prime is 11540917397. The next prime is 11540917463. The reversal of 11540917408 is 80471904511.

11540917408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11537337744 + 3579664 = 107412^2 + 1892^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 376413 + ... + 405916.

Almost surely, 2^11540917408 is an apocalyptic number.

It is an amenable number.

11540917408 is a deficient number, since it is larger than the sum of its proper divisors (11229579572).

11540917408 is an equidigital number, since it uses as much as digits as its factorization.

11540917408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782800 (or 782792 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 11540917408 in words is "eleven billion, five hundred forty million, nine hundred seventeen thousand, four hundred eight".