1817006945296 has 135 divisors (see below), whose sum is σ = 3837033786423. Its totient is φ = 833365263360.

The previous prime is 1817006945293. The next prime is 1817006945297. The reversal of 1817006945296 is 6925496007181.

The square root of 1817006945296 is 1347964.

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 22650250000 + 1794356695296 = 150500^2 + 1339536^2 .

It is a super-2 number, since 2×1817006945296² (a number of 25 digits) contains 22 as substring.

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 1817006945296.

It is not an unprimeable number, because it can be changed into a prime (1817006945293) 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 26 ways as a sum of consecutive naturals, for example, 3941446506 + ... + 3941446966.

Almost surely, 2^{1817006945296} is an apocalyptic number.

1817006945296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1817006945296 is the 1347964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1817006945296

1817006945296 is an abundant number, since it is smaller than the sum of its proper divisors (2020026841127).

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

1817006945296 is an frugal number, since it uses more digits than its factorization.

1817006945296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 1817006945296 in words is "one trillion, eight hundred seventeen billion, six million, nine hundred forty-five thousand, two hundred ninety-six".