16814848724964 has 108 divisors (see below), whose sum is σ = 44882968741884. Its totient is φ = 5307115572864.

The previous prime is 16814848724953. The next prime is 16814848725071. The reversal of 16814848724964 is 46942784841861.

It is a happy number.

16814848724964 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 48 + 487 + 2 + 49 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8674144136100 + 8140704588864 = 2945190^2 + 2853192^2 .

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 16814848724892 and 16814848724901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24048834 + ... + 24738150.

Almost surely, 2^{16814848724964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16814848724964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441484370942).

16814848724964 is an abundant number, since it is smaller than the sum of its proper divisors (28068120016920).

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

16814848724964 is a wasteful number, since it uses less digits than its factorization.

16814848724964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691242 (or 691218 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 16814848724964 in words is "sixteen trillion, eight hundred fourteen billion, eight hundred forty-eight million, seven hundred twenty-four thousand, nine hundred sixty-four".