13859634816 has 256 divisors, whose sum is σ = 43593984000. Its totient is φ = 4322294784.

The previous prime is 13859634799. The next prime is 13859634821. The reversal of 13859634816 is 61843695831.

13859634816 is a `hidden beast` number, since 1 + 3 + 8 + 596 + 3 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5448841 + ... + 5451383.

It is an arithmetic number, because the mean of its divisors is an integer number (170289000).

Almost surely, 2^13859634816 is an apocalyptic number.

13859634816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13859634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21796992000).

13859634816 is an abundant number, since it is smaller than the sum of its proper divisors (29734349184).

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

13859634816 is a wasteful number, since it uses less digits than its factorization.

13859634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2650 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13859634816 in words is "thirteen billion, eight hundred fifty-nine million, six hundred thirty-four thousand, eight hundred sixteen".