11646556768 has 192 divisors, whose sum is σ = 30711744000. Its totient is φ = 4297950720.

The previous prime is 11646556739. The next prime is 11646556771. The reversal of 11646556768 is 86765564611.

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, 2291446 + ... + 2296522.

It is an arithmetic number, because the mean of its divisors is an integer number (159957000).

Almost surely, 2^11646556768 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 11646556768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355872000).

11646556768 is an abundant number, since it is smaller than the sum of its proper divisors (19065187232).

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

11646556768 is a wasteful number, since it uses less digits than its factorization.

11646556768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5116 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 11646556768 in words is "eleven billion, six hundred forty-six million, five hundred fifty-six thousand, seven hundred sixty-eight".