1166147282664 has 1152 divisors, whose sum is σ = 4322382704640. Its totient is φ = 280714097664.

The previous prime is 1166147282647. The next prime is 1166147282683. The reversal of 1166147282664 is 4662827416611.

1166147282664 is a `hidden beast` number, since 1 + 16 + 614 + 7 + 2 + 8 + 2 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1166147282664² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1166147282664.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2131896039 + ... + 2131896585.

It is an arithmetic number, because the mean of its divisors is an integer number (3752068320).

Almost surely, 2^{1166147282664} is an apocalyptic number.

1166147282664 is a gapful number since it is divisible by the number (14) 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 1166147282664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161191352320).

1166147282664 is an abundant number, since it is smaller than the sum of its proper divisors (3156235421976).

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

1166147282664 is a wasteful number, since it uses less digits than its factorization.

1166147282664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 1166147282664 in words is "one trillion, one hundred sixty-six billion, one hundred forty-seven million, two hundred eighty-two thousand, six hundred sixty-four".