13967644416 has 144 divisors (see below), whose sum is σ = 40815965568. Its totient is φ = 4205260800.

The previous prime is 13967644387. The next prime is 13967644429. The reversal of 13967644416 is 61444676931.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1321071 + ... + 1331601.

Almost surely, 2^13967644416 is an apocalyptic number.

13967644416 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 13967644416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20407982784).

13967644416 is an abundant number, since it is smaller than the sum of its proper divisors (26848321152).

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

13967644416 is a wasteful number, since it uses less digits than its factorization.

13967644416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10704 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 13967644416 in words is "thirteen billion, nine hundred sixty-seven million, six hundred forty-four thousand, four hundred sixteen".