18085949416431 has 144 divisors (see below), whose sum is σ = 29890081009152. Its totient is φ = 10473985843200.

The previous prime is 18085949416369. The next prime is 18085949416433. The reversal of 18085949416431 is 13461494958081.

18085949416431 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 59 + 494 + 1 + 64 + 31 = 666.

It is not a de Polignac number, because 18085949416431 - 2¹³ = 18085949408239 is a prime.

It is a super-2 number, since 2×18085949416431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18085949416433) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8559369231 + ... + 8559371343.

It is an arithmetic number, because the mean of its divisors is an integer number (207570007008).

Almost surely, 2^{18085949416431} is an apocalyptic number.

18085949416431 is a deficient number, since it is larger than the sum of its proper divisors (11804131592721).

18085949416431 is a wasteful number, since it uses less digits than its factorization.

18085949416431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 18085949416431 in words is "eighteen trillion, eighty-five billion, nine hundred forty-nine million, four hundred sixteen thousand, four hundred thirty-one".