1166814756864 has 405 divisors, whose sum is σ = 3527294184687. Its totient is φ = 371655180288.

The previous prime is 1166814756841. The next prime is 1166814756949. The reversal of 1166814756864 is 4686574186611.

The square root of 1166814756864 is 1080192.

It is a perfect power (a square), and thus also a powerful number.

1166814756864 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 1 + 4 + 7 + 568 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 829440000 + 1165985316864 = 28800^2 + 1079808^2 .

It is a super-2 number, since 2×1166814756864² (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 26 ways as a sum of consecutive naturals, for example, 12029018064 + ... + 12029018160.

Almost surely, 2^{1166814756864} is an apocalyptic number.

1166814756864 is the 1080192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166814756864

1166814756864 is an abundant number, since it is smaller than the sum of its proper divisors (2360479427823).

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

1166814756864 is an frugal number, since it uses more digits than its factorization.

1166814756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 131 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 1166814756864 in words is "one trillion, one hundred sixty-six billion, eight hundred fourteen million, seven hundred fifty-six thousand, eight hundred sixty-four".