17318281997952 has 960 divisors, whose sum is σ = 58911150355200. Its totient is φ = 5034046537728.

The previous prime is 17318281997909. The next prime is 17318281997957. The reversal of 17318281997952 is 25979918281371.

17318281997952 is a `hidden beast` number, since 1 + 7 + 318 + 2 + 8 + 199 + 79 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (17318281997957) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20208029908 + ... + 20208030764.

It is an arithmetic number, because the mean of its divisors is an integer number (61365781620).

Almost surely, 2^{17318281997952} is an apocalyptic number.

17318281997952 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 17318281997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29455575177600).

17318281997952 is an abundant number, since it is smaller than the sum of its proper divisors (41592868357248).

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

17318281997952 is a wasteful number, since it uses less digits than its factorization.

17318281997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1501 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 72.

The spelling of 17318281997952 in words is "seventeen trillion, three hundred eighteen billion, two hundred eighty-one million, nine hundred ninety-seven thousand, nine hundred fifty-two".