1716834816 has 240 divisors, whose sum is σ = 5254913664. Its totient is φ = 538509312.

The previous prime is 1716834809. The next prime is 1716834871. The reversal of 1716834816 is 6184386171.

1716834816 is a `hidden beast` number, since 1 + 7 + 168 + 3 + 481 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10280365 + ... + 10280531.

Almost surely, 2^1716834816 is an apocalyptic number.

1716834816 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 1716834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627456832).

1716834816 is an abundant number, since it is smaller than the sum of its proper divisors (3538078848).

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

1716834816 is a wasteful number, since it uses less digits than its factorization.

1716834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1716834816 is about 41434.7054532791. The cubic root of 1716834816 is about 1197.4098800880.

It can be divided in two parts, 17168 and 34816, that added together give a square (51984 = 228²).

The spelling of 1716834816 in words is "one billion, seven hundred sixteen million, eight hundred thirty-four thousand, eight hundred sixteen".