13286435146314 has 128 divisors (see below), whose sum is σ = 30348364400640. Its totient is φ = 3838494105600.

The previous prime is 13286435146277. The next prime is 13286435146321. The reversal of 13286435146314 is 41364153468231.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 2259210654 + ... + 2259216534.

It is an arithmetic number, because the mean of its divisors is an integer number (237096596880).

Almost surely, 2^{13286435146314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13286435146314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174182200320).

13286435146314 is an abundant number, since it is smaller than the sum of its proper divisors (17061929254326).

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

13286435146314 is a wasteful number, since it uses less digits than its factorization.

13286435146314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556.

The product of its digits is 4976640, while the sum is 51.

The spelling of 13286435146314 in words is "thirteen trillion, two hundred eighty-six billion, four hundred thirty-five million, one hundred forty-six thousand, three hundred fourteen".