13893466384512 has 512 divisors, whose sum is σ = 48768610464000. Its totient is φ = 3886273105920.

The previous prime is 13893466384453. The next prime is 13893466384537. The reversal of 13893466384512 is 21548366439831.

13893466384512 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 34 + 6 + 6 + 3 + 84 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13893466384512.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39857314 + ... + 40204382.

Almost surely, 2^{13893466384512} is an apocalyptic number.

13893466384512 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 13893466384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384305232000).

13893466384512 is an abundant number, since it is smaller than the sum of its proper divisors (34875144079488).

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

13893466384512 is an equidigital number, since it uses as much as digits as its factorization.

13893466384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347128 (or 347098 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 13893466384512 in words is "thirteen trillion, eight hundred ninety-three billion, four hundred sixty-six million, three hundred eighty-four thousand, five hundred twelve".