13914873388416 has 512 divisors, whose sum is σ = 49783457848320. Its totient is φ = 3325679861760.

The previous prime is 13914873388379. The next prime is 13914873388441. The reversal of 13914873388416 is 61488337841931.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121792630 + ... + 121906826.

It is an arithmetic number, because the mean of its divisors is an integer number (97233316110).

Almost surely, 2^{13914873388416} is an apocalyptic number.

13914873388416 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 13914873388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24891728924160).

13914873388416 is an abundant number, since it is smaller than the sum of its proper divisors (35868584459904).

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

13914873388416 is a wasteful number, since it uses less digits than its factorization.

13914873388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114562 (or 114550 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 13914873388416 in words is "thirteen trillion, nine hundred fourteen billion, eight hundred seventy-three million, three hundred eighty-eight thousand, four hundred sixteen".