13842493256889 has 96 divisors (see below), whose sum is σ = 22208449536000. Its totient is φ = 8238074544000.

The previous prime is 13842493256887. The next prime is 13842493256897. The reversal of 13842493256889 is 98865239424831.

13842493256889 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 2 + 493 + 2 + 56 + 8 + 89 = 666.

It is not a de Polignac number, because 13842493256889 - 2¹ = 13842493256887 is a prime.

It is a super-3 number, since 3×13842493256889³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13842493256887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2548790004 + ... + 2548795434.

It is an arithmetic number, because the mean of its divisors is an integer number (231338016000).

Almost surely, 2^{13842493256889} is an apocalyptic number.

It is an amenable number.

13842493256889 is a deficient number, since it is larger than the sum of its proper divisors (8365956279111).

13842493256889 is a wasteful number, since it uses less digits than its factorization.

13842493256889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6904 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 13842493256889 in words is "thirteen trillion, eight hundred forty-two billion, four hundred ninety-three million, two hundred fifty-six thousand, eight hundred eighty-nine".