13642642314 has 192 divisors, whose sum is σ = 36533852160. Its totient is φ = 3592978560.

The previous prime is 13642642297. The next prime is 13642642337. The reversal of 13642642314 is 41324624631.

13642642314 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 642 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×13642642314² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15041049 + ... + 15041955.

It is an arithmetic number, because the mean of its divisors is an integer number (190280480).

Almost surely, 2^13642642314 is an apocalyptic number.

13642642314 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 13642642314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266926080).

13642642314 is an abundant number, since it is smaller than the sum of its proper divisors (22891209846).

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

13642642314 is a wasteful number, since it uses less digits than its factorization.

13642642314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 13642642314 in words is "thirteen billion, six hundred forty-two million, six hundred forty-two thousand, three hundred fourteen".