13894160645376 has 432 divisors, whose sum is σ = 45747443589120. Its totient is φ = 4017129984000.

The previous prime is 13894160645333. The next prime is 13894160645383. The reversal of 13894160645376 is 67354606149831.

It is a happy number.

13894160645376 is a `hidden beast` number, since 1 + 3 + 8 + 94 + 1 + 6 + 0 + 6 + 4 + 537 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 55657605 + ... + 55906683.

It is an arithmetic number, because the mean of its divisors is an integer number (105896860160).

Almost surely, 2^{13894160645376} is an apocalyptic number.

13894160645376 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 13894160645376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873721794560).

13894160645376 is an abundant number, since it is smaller than the sum of its proper divisors (31853282943744).

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

13894160645376 is a wasteful number, since it uses less digits than its factorization.

13894160645376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249214 (or 249197 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 13894160645376 in words is "thirteen trillion, eight hundred ninety-four billion, one hundred sixty million, six hundred forty-five thousand, three hundred seventy-six".