13828284113706 has 16 divisors (see below), whose sum is σ = 30729520252800. Its totient is φ = 4609428037884.

The previous prime is 13828284113687. The next prime is 13828284113711. The reversal of 13828284113706 is 60731148282831.

13828284113706 is a `hidden beast` number, since 1 + 3 + 82 + 82 + 8 + 411 + 3 + 70 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 256079335439 = 13828284113706 / (1 + 3 + 8 + 2 + 8 + 2 + 8 + 4 + 1 + 1 + 3 + 7 + 0 + 6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128039667666 + ... + 128039667773.

It is an arithmetic number, because the mean of its divisors is an integer number (1920595015800).

Almost surely, 2^{13828284113706} is an apocalyptic number.

13828284113706 is an abundant number, since it is smaller than the sum of its proper divisors (16901236139094).

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

13828284113706 is a wasteful number, since it uses less digits than its factorization.

13828284113706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256079335450 (or 256079335444 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 13828284113706 in words is "thirteen trillion, eight hundred twenty-eight billion, two hundred eighty-four million, one hundred thirteen thousand, seven hundred six".