17853475368961 has 16 divisors (see below), whose sum is σ = 18416120928768. Its totient is φ = 17298488232000.

The previous prime is 17853475368919. The next prime is 17853475369001. The reversal of 17853475368961 is 16986357435871.

It is a cyclic number.

It is not a de Polignac number, because 17853475368961 - 2¹³ = 17853475360769 is a prime.

It is a super-3 number, since 3×17853475368961³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17853475368461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39226051 + ... + 39678583.

It is an arithmetic number, because the mean of its divisors is an integer number (1151007558048).

Almost surely, 2^{17853475368961} is an apocalyptic number.

It is an amenable number.

17853475368961 is a deficient number, since it is larger than the sum of its proper divisors (562645559807).

17853475368961 is a wasteful number, since it uses less digits than its factorization.

17853475368961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460992.

The product of its digits is 914457600, while the sum is 73.

The spelling of 17853475368961 in words is "seventeen trillion, eight hundred fifty-three billion, four hundred seventy-five million, three hundred sixty-eight thousand, nine hundred sixty-one".