873634692665344 has 351 divisors, whose sum is σ = 1869299458292133. Its totient is φ = 408191680806912.

The previous prime is 873634692665311. The next prime is 873634692665359. The reversal of 873634692665344 is 443566296436378.

The square root of 873634692665344 is 29557312.

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., 608919189458944 + 264715503206400 = 24676288^2 + 16270080^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a Duffinian number.

It is an unprimeable number.

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, 3917644361617 + ... + 3917644361839.

Almost surely, 2^{873634692665344} is an apocalyptic number.

873634692665344 is the 29557312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873634692665344

873634692665344 is an abundant number, since it is smaller than the sum of its proper divisors (995664765626789).

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

873634692665344 is an frugal number, since it uses more digits than its factorization.

873634692665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 353 counting only the distinct ones).

The product of its digits is 11287019520, while the sum is 76.

The spelling of 873634692665344 in words is "eight hundred seventy-three trillion, six hundred thirty-four billion, six hundred ninety-two million, six hundred sixty-five thousand, three hundred forty-four".