16945369841664 has 736 divisors, whose sum is σ = 55920467527680. Its totient is φ = 5028131635200.

The previous prime is 16945369841629. The next prime is 16945369841669. The reversal of 16945369841664 is 46614896354961.

16945369841664 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 536 + 9 + 84 + 1 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16945369841592 and 16945369841601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16945369841669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75988205457 + ... + 75988205679.

Almost surely, 2^{16945369841664} 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 16945369841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27960233763840).

16945369841664 is an abundant number, since it is smaller than the sum of its proper divisors (38975097686016).

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

16945369841664 is an frugal number, since it uses more digits than its factorization.

16945369841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 300 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 16945369841664 in words is "sixteen trillion, nine hundred forty-five billion, three hundred sixty-nine million, eight hundred forty-one thousand, six hundred sixty-four".