1965906843664 has 45 divisors (see below), whose sum is σ = 3864129896221. Its totient is φ = 968912712320.

The previous prime is 1965906843653. The next prime is 1965906843671. The reversal of 1965906843664 is 4663486095691.

The square root of 1965906843664 is 1402108.

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

It can be written as a sum of positive squares in only one way, i.e., 854552336400 + 1111354507264 = 924420^2 + 1054208^2 .

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 1965906843664.

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, 398196204 + ... + 398201140.

Almost surely, 2^{1965906843664} is an apocalyptic number.

1965906843664 is the 1402108-th square number.

It is an amenable number.

1965906843664 is a deficient number, since it is larger than the sum of its proper divisors (1898223052557).

1965906843664 is an frugal number, since it uses more digits than its factorization.

1965906843664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 67.

The spelling of 1965906843664 in words is "one trillion, nine hundred sixty-five billion, nine hundred six million, eight hundred forty-three thousand, six hundred sixty-four".