13868336916000 has 720 divisors, whose sum is σ = 59211922842072. Its totient is φ = 3169901952000.

The previous prime is 13868336915999. The next prime is 13868336916037. The reversal of 13868336916000 is 61963386831.

It can be written as a sum of positive squares in 4 ways, for example, as 4124424833424 + 9743912082576 = 2030868^2 + 3121524^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15439230 + ... + 16312770.

Almost surely, 2^{13868336916000} is an apocalyptic number.

13868336916000 is a gapful number since it is divisible by the number (10) 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 13868336916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29605961421036).

13868336916000 is an abundant number, since it is smaller than the sum of its proper divisors (45343585926072).

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

13868336916000 is an equidigital number, since it uses as much as digits as its factorization.

13868336916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873592 (or 873558 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13868336916000 in words is "thirteen trillion, eight hundred sixty-eight billion, three hundred thirty-six million, nine hundred sixteen thousand".