829138445352 has 384 divisors, whose sum is σ = 2724338073600. Its totient is φ = 222707003904.

The previous prime is 829138445347. The next prime is 829138445441. The reversal of 829138445352 is 253544831928.

829138445352 is a `hidden beast` number, since 8 + 2 + 9 + 138 + 4 + 453 + 52 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160465473 + ... + 160470639.

It is an arithmetic number, because the mean of its divisors is an integer number (7094630400).

Almost surely, 2^829138445352 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 829138445352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362169036800).

829138445352 is an abundant number, since it is smaller than the sum of its proper divisors (1895199628248).

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

829138445352 is a wasteful number, since it uses less digits than its factorization.

829138445352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5438 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 829138445352 in words is "eight hundred twenty-nine billion, one hundred thirty-eight million, four hundred forty-five thousand, three hundred fifty-two".