16817949945792 has 336 divisors, whose sum is σ = 49708575858240. Its totient is φ = 5434280755200.

The previous prime is 16817949945791. The next prime is 16817949945803. The reversal of 16817949945792 is 29754994971861.

16817949945792 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 79 + 4 + 9 + 9 + 457 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16817949945791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972520698 + ... + 972537990.

Almost surely, 2^{16817949945792} is an apocalyptic number.

16817949945792 is a gapful number since it is divisible by the number (12) 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 16817949945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854287929120).

16817949945792 is an abundant number, since it is smaller than the sum of its proper divisors (32890625912448).

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

16817949945792 is a wasteful number, since it uses less digits than its factorization.

16817949945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772 (or 17759 counting only the distinct ones).

The product of its digits is 2469035520, while the sum is 81.

The spelling of 16817949945792 in words is "sixteen trillion, eight hundred seventeen billion, nine hundred forty-nine million, nine hundred forty-five thousand, seven hundred ninety-two".