829249133364 has 108 divisors (see below), whose sum is σ = 2167322217060. Its totient is φ = 267331104000.

The previous prime is 829249133347. The next prime is 829249133369. The reversal of 829249133364 is 463331942928.

829249133364 is a `hidden beast` number, since 8 + 2 + 9 + 249 + 1 + 33 + 364 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42089804964 + 787159328400 = 205158^2 + 887220^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 829249133364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829249133369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62300742 + ... + 62314050.

Almost surely, 2^829249133364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829249133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083661108530).

829249133364 is an abundant number, since it is smaller than the sum of its proper divisors (1338073083696).

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

829249133364 is a wasteful number, since it uses less digits than its factorization.

829249133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15182 (or 15146 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 829249133364 in words is "eight hundred twenty-nine billion, two hundred forty-nine million, one hundred thirty-three thousand, three hundred sixty-four".