2116547786896 has 45 divisors (see below), whose sum is σ = 4130210289163. Its totient is φ = 1050740752640.

The previous prime is 2116547786893. The next prime is 2116547786971. The reversal of 2116547786896 is 6986877456112.

The square root of 2116547786896 is 1454836.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1309568964496 + 806978822400 = 1144364^2 + 898320^2 .

It is a Duffinian number.

Its product of digits (243855360) is a multiple of the sum of its prime divisors (2592).

It is not an unprimeable number, because it can be changed into a prime (2116547786893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 867081036 + ... + 867083476.

Almost surely, 2^{2116547786896} is an apocalyptic number.

2116547786896 is the 1454836-th square number.

It is an amenable number.

2116547786896 is a deficient number, since it is larger than the sum of its proper divisors (2013662502267).

2116547786896 is an frugal number, since it uses more digits than its factorization.

2116547786896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 2592 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 70.

The spelling of 2116547786896 in words is "two trillion, one hundred sixteen billion, five hundred forty-seven million, seven hundred eighty-six thousand, eight hundred ninety-six".