13828379334336 has 896 divisors, whose sum is σ = 47987087769600. Its totient is φ = 3823746600960.

The previous prime is 13828379334283. The next prime is 13828379334359. The reversal of 13828379334336 is 63343397382831.

13828379334336 is a `hidden beast` number, since 1 + 3 + 8 + 283 + 7 + 9 + 3 + 343 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17350538290 + ... + 17350539086.

It is an arithmetic number, because the mean of its divisors is an integer number (53557017600).

Almost surely, 2^{13828379334336} is an apocalyptic number.

13828379334336 is a gapful number since it is divisible by the number (16) 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 13828379334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993543884800).

13828379334336 is an abundant number, since it is smaller than the sum of its proper divisors (34158708435264).

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

13828379334336 is a wasteful number, since it uses less digits than its factorization.

13828379334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1226 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 63.

The spelling of 13828379334336 in words is "thirteen trillion, eight hundred twenty-eight billion, three hundred seventy-nine million, three hundred thirty-four thousand, three hundred thirty-six".