13829308300617 has 32 divisors (see below), whose sum is σ = 18535952535552. Its totient is φ = 9171251291904.

The previous prime is 13829308300603. The next prime is 13829308300649. The reversal of 13829308300617 is 71600380392831.

It is not a de Polignac number, because 13829308300617 - 2¹⁵ = 13829308267849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13829308300617.

It is not an unprimeable number, because it can be changed into a prime (13829308300657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893762593 + ... + 893778065.

It is an arithmetic number, because the mean of its divisors is an integer number (579248516736).

Almost surely, 2^{13829308300617} is an apocalyptic number.

It is an amenable number.

13829308300617 is a deficient number, since it is larger than the sum of its proper divisors (4706644234935).

13829308300617 is a wasteful number, since it uses less digits than its factorization.

13829308300617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 13829308300617 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred eight million, three hundred thousand, six hundred seventeen".