13984141197312 has 1920 divisors, whose sum is σ = 51271788395520. Its totient is φ = 3709945774080.

The previous prime is 13984141197251. The next prime is 13984141197361. The reversal of 13984141197312 is 21379114148931.

13984141197312 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 414 + 1 + 197 + 31 + 2 = 666.

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 127 ways as a sum of consecutive naturals, for example, 144166404048 + ... + 144166404144.

It is an arithmetic number, because the mean of its divisors is an integer number (26704056456).

Almost surely, 2^{13984141197312} is an apocalyptic number.

13984141197312 is a gapful number since it is divisible by the number (12) 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 13984141197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25635894197760).

13984141197312 is an abundant number, since it is smaller than the sum of its proper divisors (37287647198208).

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

13984141197312 is a wasteful number, since it uses less digits than its factorization.

13984141197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 13984141197312 in words is "thirteen trillion, nine hundred eighty-four billion, one hundred forty-one million, one hundred ninety-seven thousand, three hundred twelve".