13682346520 has 16 divisors (see below), whose sum is σ = 30785279760. Its totient is φ = 5472938592.

The previous prime is 13682346511. The next prime is 13682346523. The reversal of 13682346520 is 2564328631.

It is a super-2 number, since 2×13682346520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 342058663 = 13682346520 / (1 + 3 + 6 + 8 + 2 + 3 + 4 + 6 + 5 + 2 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682346523) 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 3 ways as a sum of consecutive naturals, for example, 171029292 + ... + 171029371.

It is an arithmetic number, because the mean of its divisors is an integer number (1924079985).

Almost surely, 2^13682346520 is an apocalyptic number.

13682346520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13682346520 is an abundant number, since it is smaller than the sum of its proper divisors (17102933240).

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

13682346520 is a wasteful number, since it uses less digits than its factorization.

13682346520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342058674 (or 342058670 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 13682346520 in words is "thirteen billion, six hundred eighty-two million, three hundred forty-six thousand, five hundred twenty".