13982694336 has 672 divisors, whose sum is σ = 48710258688. Its totient is φ = 3941498880.

The previous prime is 13982694331. The next prime is 13982694389. The reversal of 13982694336 is 63349628931.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982694331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144151440 + ... + 144151536.

It is an arithmetic number, because the mean of its divisors is an integer number (72485504).

Almost surely, 2^13982694336 is an apocalyptic number.

13982694336 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 13982694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355129344).

13982694336 is an abundant number, since it is smaller than the sum of its proper divisors (34727564352).

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

13982694336 is a wasteful number, since it uses less digits than its factorization.

13982694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 13982694336 in words is "thirteen billion, nine hundred eighty-two million, six hundred ninety-four thousand, three hundred thirty-six".