14809600572816 has 480 divisors, whose sum is σ = 47207049412608. Its totient is φ = 3982959267840.

The previous prime is 14809600572749. The next prime is 14809600572853. The reversal of 14809600572816 is 61827500690841.

14809600572816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 558565576 + ... + 558592088.

Almost surely, 2^{14809600572816} is an apocalyptic number.

14809600572816 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 14809600572816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23603524706304).

14809600572816 is an abundant number, since it is smaller than the sum of its proper divisors (32397448839792).

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

14809600572816 is a wasteful number, since it uses less digits than its factorization.

14809600572816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26779 (or 26766 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 14809600572816 in words is "fourteen trillion, eight hundred nine billion, six hundred million, five hundred seventy-two thousand, eight hundred sixteen".