8125386192 has 540 divisors, whose sum is σ = 30111489408. Its totient is φ = 2035756800.

The previous prime is 8125386173. The next prime is 8125386193. The reversal of 8125386192 is 2916835218.

8125386192 is a `hidden beast` number, since 8 + 1 + 25 + 3 + 8 + 619 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125386193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26466903 + ... + 26467209.

Almost surely, 2^8125386192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8125386192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15055744704).

8125386192 is an abundant number, since it is smaller than the sum of its proper divisors (21986103216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8125386192 is a wasteful number, since it uses less digits than its factorization.

8125386192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 361 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 8125386192 is about 90140.9240689267. The cubic root of 8125386192 is about 2010.3947305257.

The spelling of 8125386192 in words is "eight billion, one hundred twenty-five million, three hundred eighty-six thousand, one hundred ninety-two".