194838725161125 has 108 divisors (see below), whose sum is σ = 352721814125772. Its totient is φ = 103474271040000.

The previous prime is 194838725161111. The next prime is 194838725161147. The reversal of 194838725161125 is 521161527838491.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

194838725161125 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 3 + 8 + 7 + 2 + 5 + 1 + 611 + 2 + 5 = 666.

194838725161125 is a nontrivial binomial coefficient, being equal to C(19740250, 2).

It can be written as a sum of positive squares in 18 ways, for example, as 179191581972516 + 15647143188609 = 13386246^2 + 3955647^2 .

It is not a de Polignac number, because 194838725161125 - 2¹¹ = 194838725159077 is a prime.

It is a super-2 number, since 2×194838725161125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 131558895385 + ... + 131558896865.

Almost surely, 2^{194838725161125} is an apocalyptic number.

194838725161125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

194838725161125 is the 19740249-th triangular number and also the 9870125-th hexagonal number.

It is an amenable number.

194838725161125 is a deficient number, since it is larger than the sum of its proper divisors (157883088964647).

194838725161125 is an frugal number, since it uses more digits than its factorization.

194838725161125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 1770 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 194838725161125 in words is "one hundred ninety-four trillion, eight hundred thirty-eight billion, seven hundred twenty-five million, one hundred sixty-one thousand, one hundred twenty-five".