11662117318656 has 624 divisors, whose sum is σ = 40247997963264. Its totient is φ = 3181188612096.

The previous prime is 11662117318627. The next prime is 11662117318693. The reversal of 11662117318656 is 65681371126611.

11662117318656 is a `hidden beast` number, since 1 + 1 + 6 + 621 + 1 + 7 + 3 + 1 + 8 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×11662117318656² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3840010770 + ... + 3840013806.

It is an arithmetic number, because the mean of its divisors is an integer number (64499996736).

Almost surely, 2^{11662117318656} is an apocalyptic number.

11662117318656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11662117318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123998981632).

11662117318656 is an abundant number, since it is smaller than the sum of its proper divisors (28585880644608).

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

11662117318656 is a wasteful number, since it uses less digits than its factorization.

11662117318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3719 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 11662117318656 in words is "eleven trillion, six hundred sixty-two billion, one hundred seventeen million, three hundred eighteen thousand, six hundred fifty-six".