16945216829568 has 384 divisors, whose sum is σ = 51337478799360. Its totient is φ = 5357502259200.

The previous prime is 16945216829543. The next prime is 16945216829581. The reversal of 16945216829568 is 86592861254961.

16945216829568 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 52 + 1 + 6 + 8 + 2 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 16945216829496 and 16945216829505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2068756353 + ... + 2068764543.

It is an arithmetic number, because the mean of its divisors is an integer number (133691351040).

Almost surely, 2^{16945216829568} is an apocalyptic number.

16945216829568 is a gapful number since it is divisible by the number (18) 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 16945216829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25668739399680).

16945216829568 is an abundant number, since it is smaller than the sum of its proper divisors (34392261969792).

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

16945216829568 is a wasteful number, since it uses less digits than its factorization.

16945216829568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9388 (or 9373 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 72.

The spelling of 16945216829568 in words is "sixteen trillion, nine hundred forty-five billion, two hundred sixteen million, eight hundred twenty-nine thousand, five hundred sixty-eight".