1166255681664 has 256 divisors, whose sum is σ = 3426400776960. Its totient is φ = 349598515200.

The previous prime is 1166255681621. The next prime is 1166255681671. The reversal of 1166255681664 is 4661865526611.

It is a super-2 number, since 2×1166255681664² (a number of 25 digits) contains 22 as substring.

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, 159299124 + ... + 159306444.

It is an arithmetic number, because the mean of its divisors is an integer number (13384378035).

Almost surely, 2^{1166255681664} 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 1166255681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713200388480).

1166255681664 is an abundant number, since it is smaller than the sum of its proper divisors (2260145095296).

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

1166255681664 is a wasteful number, since it uses less digits than its factorization.

1166255681664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8427 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 57.

The spelling of 1166255681664 in words is "one trillion, one hundred sixty-six billion, two hundred fifty-five million, six hundred eighty-one thousand, six hundred sixty-four".