11648415408 has 80 divisors (see below), whose sum is σ = 34777059840. Its totient is φ = 3290715648.

The previous prime is 11648415397. The next prime is 11648415431. The reversal of 11648415408 is 80451484611.

11648415408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11648415408.

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 15 ways as a sum of consecutive naturals, for example, 164860 + ... + 224667.

It is an arithmetic number, because the mean of its divisors is an integer number (434713248).

Almost surely, 2^11648415408 is an apocalyptic number.

It is an amenable number.

11648415408 is an abundant number, since it is smaller than the sum of its proper divisors (23128644432).

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

11648415408 is a wasteful number, since it uses less digits than its factorization.

11648415408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389634 (or 389628 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 11648415408 in words is "eleven billion, six hundred forty-eight million, four hundred fifteen thousand, four hundred eight".