11459689648 has 320 divisors, whose sum is σ = 27975352320. Its totient is φ = 4488422400.

The previous prime is 11459689607. The next prime is 11459689667. The reversal of 11459689648 is 84698695411.

11459689648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (14929920) is a multiple of the sum of its prime factors (216).

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 63 ways as a sum of consecutive naturals, for example, 171040111 + ... + 171040177.

It is an arithmetic number, because the mean of its divisors is an integer number (87422976).

Almost surely, 2^11459689648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11459689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987676160).

11459689648 is an abundant number, since it is smaller than the sum of its proper divisors (16515662672).

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

11459689648 is a wasteful number, since it uses less digits than its factorization.

11459689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 61.

It can be divided in two parts, 11459 and 689648, that added together give a palindrome (701107).

The spelling of 11459689648 in words is "eleven billion, four hundred fifty-nine million, six hundred eighty-nine thousand, six hundred forty-eight".