829356348213120 has 6144 divisors, whose sum is σ = 3763677560832000. Its totient is φ = 150533725224960.

The previous prime is 829356348213083. The next prime is 829356348213149. The reversal of 829356348213120 is 21312843653928.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6530364946497 + ... + 6530364946623.

It is an arithmetic number, because the mean of its divisors is an integer number (612577728000).

Almost surely, 2^{829356348213120} is an apocalyptic number.

829356348213120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829356348213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881838780416000).

829356348213120 is an abundant number, since it is smaller than the sum of its proper divisors (2934321212618880).

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

829356348213120 is a wasteful number, since it uses less digits than its factorization.

829356348213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 829356348213120 in words is "eight hundred twenty-nine trillion, three hundred fifty-six billion, three hundred forty-eight million, two hundred thirteen thousand, one hundred twenty".