2116466316864 has 63 divisors (see below), whose sum is σ = 6066568637857. Its totient is φ = 705477133824.

The previous prime is 2116466316859. The next prime is 2116466316911. The reversal of 2116466316864 is 4686136646112.

The square root of 2116466316864 is 1454808.

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

2116466316864 is a `hidden beast` number, since 2 + 1 + 16 + 466 + 3 + 168 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151445505600 + 1965020811264 = 389160^2 + 1401792^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2116466316864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34885084 + ... + 34945700.

Almost surely, 2^{2116466316864} is an apocalyptic number.

2116466316864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2116466316864 is the 1454808-th square number.

It is an amenable number.

2116466316864 is an abundant number, since it is smaller than the sum of its proper divisors (3950102320993).

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

2116466316864 is an frugal number, since it uses more digits than its factorization.

2116466316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121252 (or 60622 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 2116466316864 in words is "two trillion, one hundred sixteen billion, four hundred sixty-six million, three hundred sixteen thousand, eight hundred sixty-four".