9829213396416 has 560 divisors, whose sum is σ = 32196761372160. Its totient is φ = 2951115171840.

The previous prime is 9829213396399. The next prime is 9829213396417. The reversal of 9829213396416 is 6146933129289.

9829213396416 is a `hidden beast` number, since 9 + 8 + 29 + 213 + 396 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×9829213396416² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9829213396417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378310146 + ... + 378336126.

It is an arithmetic number, because the mean of its divisors is an integer number (57494216736).

Almost surely, 2^{9829213396416} is an apocalyptic number.

9829213396416 is a gapful number since it is divisible by the number (96) 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 9829213396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098380686080).

9829213396416 is an abundant number, since it is smaller than the sum of its proper divisors (22367547975744).

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

9829213396416 is a wasteful number, since it uses less digits than its factorization.

9829213396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26214 (or 26195 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 9829213396416 in words is "nine trillion, eight hundred twenty-nine billion, two hundred thirteen million, three hundred ninety-six thousand, four hundred sixteen".