833780829456 has 135 divisors (see below), whose sum is σ = 2385605536951. Its totient is φ = 271845590592.

The previous prime is 833780829449. The next prime is 833780829461. The reversal of 833780829456 is 654928087338.

The square root of 833780829456 is 913116.

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

833780829456 is a `hidden beast` number, since 8 + 33 + 78 + 0 + 82 + 9 + 456 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 833780829393 and 833780829402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 514996615 + ... + 514998233.

Almost surely, 2^833780829456 is an apocalyptic number.

833780829456 is the 913116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833780829456

833780829456 is an abundant number, since it is smaller than the sum of its proper divisors (1551824707495).

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

833780829456 is an equidigital number, since it uses as much as digits as its factorization.

833780829456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 833780829456 in words is "eight hundred thirty-three billion, seven hundred eighty million, eight hundred twenty-nine thousand, four hundred fifty-six".