812689629049 has 27 divisors (see below), whose sum is σ = 911462189391. Its totient is φ = 724367655360.

The previous prime is 812689629047. The next prime is 812689629091. The reversal of 812689629049 is 940926986218.

The square root of 812689629049 is 901493.

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., 632716839225 + 179972789824 = 795435^2 + 424232^2 .

It is not a de Polignac number, because 812689629049 - 2¹ = 812689629047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (812689629047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 291180844 + ... + 291183634.

Almost surely, 2^812689629049 is an apocalyptic number.

812689629049 is the 901493-rd square number.

812689629049 is the 450747-th centered octagonal number.

It is an amenable number.

812689629049 is a deficient number, since it is larger than the sum of its proper divisors (98772560342).

812689629049 is an frugal number, since it uses more digits than its factorization.

812689629049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

Multiplying 812689629049 by its sum of digits (64), we get a square (52012136259136 = 7211944²).

The spelling of 812689629049 in words is "eight hundred twelve billion, six hundred eighty-nine million, six hundred twenty-nine thousand, forty-nine".