13428295314 has 64 divisors (see below), whose sum is σ = 31773081600. Its totient is φ = 3701855808.

The previous prime is 13428295313. The next prime is 13428295351. The reversal of 13428295314 is 41359282431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13428295313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480799 + ... + 2486205.

It is an arithmetic number, because the mean of its divisors is an integer number (496454400).

Almost surely, 2^13428295314 is an apocalyptic number.

13428295314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13428295314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15886540800).

13428295314 is an abundant number, since it is smaller than the sum of its proper divisors (18344786286).

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

13428295314 is a wasteful number, since it uses less digits than its factorization.

13428295314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7487.

The product of its digits is 207360, while the sum is 42.

The spelling of 13428295314 in words is "thirteen billion, four hundred twenty-eight million, two hundred ninety-five thousand, three hundred fourteen".