13583442816 has 192 divisors, whose sum is σ = 41974264800. Its totient is φ = 4201021440.

The previous prime is 13583442739. The next prime is 13583442857. The reversal of 13583442816 is 61824438531.

13583442816 is a `hidden beast` number, since 1 + 3 + 583 + 44 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385580 + ... + 1395348.

Almost surely, 2^13583442816 is an apocalyptic number.

13583442816 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 13583442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20987132400).

13583442816 is an abundant number, since it is smaller than the sum of its proper divisors (28390821984).

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

13583442816 is a wasteful number, since it uses less digits than its factorization.

13583442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877 (or 9862 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 13583442816 in words is "thirteen billion, five hundred eighty-three million, four hundred forty-two thousand, eight hundred sixteen".