16794431520768 has 528 divisors, whose sum is σ = 55244808979776. Its totient is φ = 4866567045120.

The previous prime is 16794431520761. The next prime is 16794431520773. The reversal of 16794431520768 is 86702513449761.

16794431520768 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 4 + 4 + 31 + 520 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (16794431520761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4775213346 + ... + 4775216862.

It is a 1-persistent number, because it is pandigital, but 2⋅16794431520768 = 33588863041536 is not.

Almost surely, 2^{16794431520768} is an apocalyptic number.

16794431520768 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 16794431520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27622404489888).

16794431520768 is an abundant number, since it is smaller than the sum of its proper divisors (38450377459008).

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

16794431520768 is an frugal number, since it uses more digits than its factorization.

16794431520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 16794431520768 in words is "sixteen trillion, seven hundred ninety-four billion, four hundred thirty-one million, five hundred twenty thousand, seven hundred sixty-eight".