642116125341 has 24 divisors (see below), whose sum is σ = 934962289664. Its totient is φ = 424634918400.

The previous prime is 642116125303. The next prime is 642116125397. The reversal of 642116125341 is 143521611246.

642116125341 is a `hidden beast` number, since 6 + 4 + 2 + 1 + 1 + 612 + 5 + 34 + 1 = 666.

It is not a de Polignac number, because 642116125341 - 2⁹ = 642116124829 is a prime.

It is a super-3 number, since 3×642116125341³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 642116125296 and 642116125305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642116125841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7198866 + ... + 7287516.

Almost surely, 2^642116125341 is an apocalyptic number.

It is an amenable number.

642116125341 is a deficient number, since it is larger than the sum of its proper divisors (292846164323).

642116125341 is a wasteful number, since it uses less digits than its factorization.

642116125341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95121 (or 95118 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 642116125341 its reverse (143521611246), we get a palindrome (785637736587).

The spelling of 642116125341 in words is "six hundred forty-two billion, one hundred sixteen million, one hundred twenty-five thousand, three hundred forty-one".