11622593664 has 256 divisors, whose sum is σ = 39393216000. Its totient is φ = 3336422400.

The previous prime is 11622593627. The next prime is 11622593699. The reversal of 11622593664 is 46639522611.

11622593664 is a `hidden beast` number, since 11 + 622 + 5 + 9 + 3 + 6 + 6 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 714259 + ... + 730349.

It is an arithmetic number, because the mean of its divisors is an integer number (153879750).

Almost surely, 2^11622593664 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 11622593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19696608000).

11622593664 is an abundant number, since it is smaller than the sum of its proper divisors (27770622336).

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

11622593664 is a wasteful number, since it uses less digits than its factorization.

11622593664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16144 (or 16126 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 11622593664 in words is "eleven billion, six hundred twenty-two million, five hundred ninety-three thousand, six hundred sixty-four".