816794790289 has 9 divisors (see below), whose sum is σ = 819667059771. Its totient is φ = 813932560200.

The previous prime is 816794790277. The next prime is 816794790347. The reversal of 816794790289 is 982097497618.

The square root of 816794790289 is 903767.

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

816794790289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45721130625 + 771073659664 = 213825^2 + 878108^2 .

It is not a de Polignac number, because 816794790289 - 2⁹ = 816794789777 is a prime.

It is a super-3 number, since 3×816794790289³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816794790689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 286492714 + ... + 286495564.

Almost surely, 2^816794790289 is an apocalyptic number.

816794790289 is the 903767-th square number.

816794790289 is the 451884-th centered octagonal number.

It is an amenable number.

816794790289 is a deficient number, since it is larger than the sum of its proper divisors (2872269482).

816794790289 is an frugal number, since it uses more digits than its factorization.

816794790289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 70.

The spelling of 816794790289 in words is "eight hundred sixteen billion, seven hundred ninety-four million, seven hundred ninety thousand, two hundred eighty-nine".