13884285816 has 160 divisors (see below), whose sum is σ = 40426903440. Its totient is φ = 4448120832.

The previous prime is 13884285809. The next prime is 13884285841. The reversal of 13884285816 is 61858248831.

13884285816 is a `hidden beast` number, since 1 + 38 + 8 + 4 + 28 + 581 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1986520 + ... + 1993496.

Almost surely, 2^13884285816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13884285816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213451720).

13884285816 is an abundant number, since it is smaller than the sum of its proper divisors (26542617624).

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

13884285816 is a wasteful number, since it uses less digits than its factorization.

13884285816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7102 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 13884285816 in words is "thirteen billion, eight hundred eighty-four million, two hundred eighty-five thousand, eight hundred sixteen".