13819941549216 has 240 divisors, whose sum is σ = 44356328932608. Its totient is φ = 4186222387200.

The previous prime is 13819941549209. The next prime is 13819941549221. The reversal of 13819941549216 is 61294514991831.

13819941549216 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 99 + 41 + 5 + 492 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73781056 + ... + 73968128.

Almost surely, 2^{13819941549216} is an apocalyptic number.

13819941549216 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 13819941549216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22178164466304).

13819941549216 is an abundant number, since it is smaller than the sum of its proper divisors (30536387383392).

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

13819941549216 is a wasteful number, since it uses less digits than its factorization.

13819941549216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189697 (or 189680 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 13819941549216 in words is "thirteen trillion, eight hundred nineteen billion, nine hundred forty-one million, five hundred forty-nine thousand, two hundred sixteen".