2112266916496 has 405 divisors, whose sum is σ = 5023991475867. Its totient is φ = 859461335040.

The previous prime is 2112266916493. The next prime is 2112266916497. The reversal of 2112266916496 is 6946196622112.

The square root of 2112266916496 is 1453364.

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 208794163600 + 1903472752896 = 456940^2 + 1379664^2 .

Its product of digits (3359232) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (2112266916493) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31526371855 + ... + 31526371921.

Almost surely, 2^{2112266916496} is an apocalyptic number.

2112266916496 is the 1453364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112266916496

2112266916496 is an abundant number, since it is smaller than the sum of its proper divisors (2911724559371).

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

2112266916496 is a wasteful number, since it uses less digits than its factorization.

2112266916496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 126 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The spelling of 2112266916496 in words is "two trillion, one hundred twelve billion, two hundred sixty-six million, nine hundred sixteen thousand, four hundred ninety-six".