11349076688 has 160 divisors (see below), whose sum is σ = 24512716800. Its totient is φ = 5074675200.

The previous prime is 11349076679. The next prime is 11349076759. The reversal of 11349076688 is 88667094311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36492053 + ... + 36492363.

It is an arithmetic number, because the mean of its divisors is an integer number (153204480).

Almost surely, 2^11349076688 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 11349076688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256358400).

11349076688 is an abundant number, since it is smaller than the sum of its proper divisors (13163640112).

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

11349076688 is a wasteful number, since it uses less digits than its factorization.

11349076688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 11349076688 in words is "eleven billion, three hundred forty-nine million, seventy-six thousand, six hundred eighty-eight".