13894459346964 has 144 divisors (see below), whose sum is σ = 38278685652480. Its totient is φ = 3910770360000.

The previous prime is 13894459346927. The next prime is 13894459347019. The reversal of 13894459346964 is 46964395449831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10645089 + ... + 11878839.

It is an arithmetic number, because the mean of its divisors is an integer number (265824205920).

Almost surely, 2^{13894459346964} is an apocalyptic number.

13894459346964 is a gapful number since it is divisible by the number (14) 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 13894459346964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19139342826240).

13894459346964 is an abundant number, since it is smaller than the sum of its proper divisors (24384226305516).

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

13894459346964 is a wasteful number, since it uses less digits than its factorization.

13894459346964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234058 (or 1234049 counting only the distinct ones).

The product of its digits is 2418647040, while the sum is 75.

The spelling of 13894459346964 in words is "thirteen trillion, eight hundred ninety-four billion, four hundred fifty-nine million, three hundred forty-six thousand, nine hundred sixty-four".