11830658864 has 40 divisors (see below), whose sum is σ = 24197670000. Its totient is φ = 5587888896.

The previous prime is 11830658831. The next prime is 11830658891. The reversal of 11830658864 is 46885603811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50342 + ... + 161850.

It is an arithmetic number, because the mean of its divisors is an integer number (604941750).

Almost surely, 2^11830658864 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 11830658864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098835000).

11830658864 is an abundant number, since it is smaller than the sum of its proper divisors (12367011136).

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

11830658864 is a wasteful number, since it uses less digits than its factorization.

11830658864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111885 (or 111879 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 11830658864 in words is "eleven billion, eight hundred thirty million, six hundred fifty-eight thousand, eight hundred sixty-four".