17457042768 has 160 divisors (see below), whose sum is σ = 51030483840. Its totient is φ = 5093867520.

The previous prime is 17457042763. The next prime is 17457042809. The reversal of 17457042768 is 86724075471.

It is a super-2 number, since 2×17457042768² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 17457042768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17457042763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6628780 + ... + 6631412.

It is an arithmetic number, because the mean of its divisors is an integer number (318940524).

Almost surely, 2^17457042768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17457042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25515241920).

17457042768 is an abundant number, since it is smaller than the sum of its proper divisors (33573441072).

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

17457042768 is a wasteful number, since it uses less digits than its factorization.

17457042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 17457042768 in words is "seventeen billion, four hundred fifty-seven million, forty-two thousand, seven hundred sixty-eight".