18097436125 has 16 divisors (see below), whose sum is σ = 22615398000. Its totient is φ = 14458848000.

The previous prime is 18097436087. The next prime is 18097436191. The reversal of 18097436125 is 52163479081.

18097436125 is a nontrivial binomial coefficient, being equal to C(190250, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 6686496441 + 11410939684 = 81771^2 + 106822^2 .

It is not a de Polignac number, because 18097436125 - 2⁹ = 18097435613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 190249.

It is an arithmetic number, because the mean of its divisors is an integer number (1413462375).

It is a 2-persistent number, because it is pandigital, and so is 2⋅18097436125 = 36194872250, but 3⋅18097436125 = 54292308375 is not.

Almost surely, 2^18097436125 is an apocalyptic number.

18097436125 is the 190249-th triangular number and also the 95125-th hexagonal number.

18097436125 is the 63417-th centered nonagonal number.

It is an amenable number.

18097436125 is a deficient number, since it is larger than the sum of its proper divisors (4517961875).

18097436125 is an equidigital number, since it uses as much as digits as its factorization.

18097436125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191025 (or 191015 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 18097436125 in words is "eighteen billion, ninety-seven million, four hundred thirty-six thousand, one hundred twenty-five".