13363510416 has 320 divisors, whose sum is σ = 40445982720. Its totient is φ = 3775242240.

The previous prime is 13363510397. The next prime is 13363510421. The reversal of 13363510416 is 61401536331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23403411 + ... + 23403981.

It is an arithmetic number, because the mean of its divisors is an integer number (126393696).

Almost surely, 2^13363510416 is an apocalyptic number.

13363510416 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 13363510416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222991360).

13363510416 is an abundant number, since it is smaller than the sum of its proper divisors (27082472304).

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

13363510416 is a wasteful number, since it uses less digits than its factorization.

13363510416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 13363510416 in words is "thirteen billion, three hundred sixty-three million, five hundred ten thousand, four hundred sixteen".