16315513130784 has 192 divisors, whose sum is σ = 49529107998720. Its totient is φ = 4606161500160.

The previous prime is 16315513130779. The next prime is 16315513130849. The reversal of 16315513130784 is 48703131551361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91476957 + ... + 91655139.

It is an arithmetic number, because the mean of its divisors is an integer number (257964104160).

Almost surely, 2^{16315513130784} is an apocalyptic number.

16315513130784 is a gapful number since it is divisible by the number (14) 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 16315513130784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24764553999360).

16315513130784 is an abundant number, since it is smaller than the sum of its proper divisors (33213594867936).

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

16315513130784 is a wasteful number, since it uses less digits than its factorization.

16315513130784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179823 (or 179815 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 16315513130784 in words is "sixteen trillion, three hundred fifteen billion, five hundred thirteen million, one hundred thirty thousand, seven hundred eighty-four".