829742453604 has 27 divisors (see below), whose sum is σ = 2097418350937. Its totient is φ = 276578996064.

The previous prime is 829742453599. The next prime is 829742453609. The reversal of 829742453604 is 406354247928.

It is a happy number.

The square root of 829742453604 is 910902.

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

829742453604 is a `hidden beast` number, since 8 + 2 + 9 + 7 + 4 + 24 + 5 + 3 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (829742453599) and next prime (829742453609).

It can be written as a sum of positive squares in only one way, i.e., 461108902500 + 368633551104 = 679050^2 + 607152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829742453609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5389504 + ... + 5541320.

Almost surely, 2^829742453604 is an apocalyptic number.

829742453604 is the 910902-nd square number.

It is an amenable number.

829742453604 is an abundant number, since it is smaller than the sum of its proper divisors (1267675897333).

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

829742453604 is an frugal number, since it uses more digits than its factorization.

829742453604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303644 (or 151822 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 829742453604 in words is "eight hundred twenty-nine billion, seven hundred forty-two million, four hundred fifty-three thousand, six hundred four".