13829071382890 has 16 divisors (see below), whose sum is σ = 25471219850208. Its totient is φ = 5402986028496.

The previous prime is 13829071382879. The next prime is 13829071382899. The reversal of 13829071382890 is 9828317092831.

13829071382890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13829071382899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16080315132 + ... + 16080315991.

It is an arithmetic number, because the mean of its divisors is an integer number (1591951240638).

Almost surely, 2^{13829071382890} is an apocalyptic number.

13829071382890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13829071382890 is a deficient number, since it is larger than the sum of its proper divisors (11642148467318).

13829071382890 is a wasteful number, since it uses less digits than its factorization.

13829071382890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32160631173.

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 13829071382890 in words is "thirteen trillion, eight hundred twenty-nine billion, seventy-one million, three hundred eighty-two thousand, eight hundred ninety".