13820284416 has 80 divisors (see below), whose sum is σ = 37005805584. Its totient is φ = 4583276544.

The previous prime is 13820284397. The next prime is 13820284421. The reversal of 13820284416 is 61448202831.

It is a super-2 number, since 2×13820284416² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279756 + ... + 325428.

Almost surely, 2^13820284416 is an apocalyptic number.

13820284416 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 13820284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18502902792).

13820284416 is an abundant number, since it is smaller than the sum of its proper divisors (23185521168).

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

13820284416 is an equidigital number, since it uses as much as digits as its factorization.

13820284416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45891 (or 45875 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13820284416 in words is "thirteen billion, eight hundred twenty million, two hundred eighty-four thousand, four hundred sixteen".