16130301559344 has 420 divisors, whose sum is σ = 54444451836528. Its totient is φ = 4533020444160.

The previous prime is 16130301559331. The next prime is 16130301559403. The reversal of 16130301559344 is 44395510303161.

16130301559344 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 0 + 3 + 0 + 15 + 593 + 44 = 666.

It is a super-3 number, since 3×16130301559344³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16130301559344.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 303785662 + ... + 303838754.

Almost surely, 2^{16130301559344} is an apocalyptic number.

16130301559344 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 16130301559344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27222225918264).

16130301559344 is an abundant number, since it is smaller than the sum of its proper divisors (38314150277184).

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

16130301559344 is an frugal number, since it uses more digits than its factorization.

16130301559344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53248 (or 53166 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 16130301559344 in words is "sixteen trillion, one hundred thirty billion, three hundred one million, five hundred fifty-nine thousand, three hundred forty-four".