13974736896 has 260 divisors, whose sum is σ = 42391799692. Its totient is φ = 4586471424.

The previous prime is 13974736879. The next prime is 13974736907. The reversal of 13974736896 is 69863747931.

13974736896 is a `hidden beast` number, since 13 + 9 + 7 + 473 + 68 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11851370496 + 2123366400 = 108864^2 + 46080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24219360 + ... + 24219936.

Almost surely, 2^13974736896 is an apocalyptic number.

13974736896 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 13974736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21195899846).

13974736896 is an abundant number, since it is smaller than the sum of its proper divisors (28417062796).

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

13974736896 is an frugal number, since it uses more digits than its factorization.

13974736896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 655 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 13974736896 in words is "thirteen billion, nine hundred seventy-four million, seven hundred thirty-six thousand, eight hundred ninety-six".