13393890921216 has 288 divisors, whose sum is σ = 38764121840640. Its totient is φ = 4081154015232.

The previous prime is 13393890921209. The next prime is 13393890921223. The reversal of 13393890921216 is 61212909839331.

It is an interprime number because it is at equal distance from previous prime (13393890921209) and next prime (13393890921223).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448496301 + ... + 448526163.

It is an arithmetic number, because the mean of its divisors is an integer number (134597645280).

Almost surely, 2^{13393890921216} is an apocalyptic number.

13393890921216 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 13393890921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382060920320).

13393890921216 is an abundant number, since it is smaller than the sum of its proper divisors (25370230919424).

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

13393890921216 is a wasteful number, since it uses less digits than its factorization.

13393890921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30331 (or 30317 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 13393890921216 in words is "thirteen trillion, three hundred ninety-three billion, eight hundred ninety million, nine hundred twenty-one thousand, two hundred sixteen".