833145421824 has 135 divisors (see below), whose sum is σ = 2407804059297. Its totient is φ = 277598306304.

The previous prime is 833145421753. The next prime is 833145421837. The reversal of 833145421824 is 428124541338.

The square root of 833145421824 is 912768.

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

833145421824 is a `hidden beast` number, since 8 + 3 + 3 + 145 + 421 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329567846400 + 503577575424 = 574080^2 + 709632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 833145421824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 350501724 + ... + 350504100.

Almost surely, 2^833145421824 is an apocalyptic number.

833145421824 is the 912768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833145421824

833145421824 is an abundant number, since it is smaller than the sum of its proper divisors (1574658637473).

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

833145421824 is an frugal number, since it uses more digits than its factorization.

833145421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 2382 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 833145421824 in words is "eight hundred thirty-three billion, one hundred forty-five million, four hundred twenty-one thousand, eight hundred twenty-four".