16817391311616 has 1296 divisors, whose sum is σ = 62562402459648. Its totient is φ = 4308885504000.

The previous prime is 16817391311597. The next prime is 16817391311627. The reversal of 16817391311616 is 61611319371861.

It is a happy number.

16817391311616 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 7 + 3 + 9 + 1 + 3 + 11 + 616 = 666.

It is a super-4 number, since 4×16817391311616⁴ (a number of 54 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14611112641 + ... + 14611113791.

It is an arithmetic number, because the mean of its divisors is an integer number (48273458688).

Almost surely, 2^{16817391311616} is an apocalyptic number.

16817391311616 is a gapful number since it is divisible by the number (16) 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 16817391311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31281201229824).

16817391311616 is an abundant number, since it is smaller than the sum of its proper divisors (45745011148032).

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

16817391311616 is a wasteful number, since it uses less digits than its factorization.

16817391311616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1534 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The spelling of 16817391311616 in words is "sixteen trillion, eight hundred seventeen billion, three hundred ninety-one million, three hundred eleven thousand, six hundred sixteen".