13685374656 has 112 divisors (see below), whose sum is σ = 40717622400. Its totient is φ = 4506782976.

The previous prime is 13685374631. The next prime is 13685374657. The reversal of 13685374656 is 65647358631.

13685374656 is a `hidden beast` number, since 1 + 3 + 68 + 537 + 46 + 5 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13685374657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95715 + ... + 191133.

It is an arithmetic number, because the mean of its divisors is an integer number (363550200).

Almost surely, 2^13685374656 is an apocalyptic number.

13685374656 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 13685374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358811200).

13685374656 is an abundant number, since it is smaller than the sum of its proper divisors (27032247744).

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

13685374656 is an equidigital number, since it uses as much as digits as its factorization.

13685374656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95523 (or 95507 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 13685374656 in words is "thirteen billion, six hundred eighty-five million, three hundred seventy-four thousand, six hundred fifty-six".