8145392904 has 192 divisors, whose sum is σ = 24785879040. Its totient is φ = 2395370880.

The previous prime is 8145392897. The next prime is 8145392909. The reversal of 8145392904 is 4092935418.

It is a self number, because there is not a number n which added to its sum of digits gives 8145392904.

It is not an unprimeable number, because it can be changed into a prime (8145392909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4726587 + ... + 4728309.

It is an arithmetic number, because the mean of its divisors is an integer number (129093120).

Almost surely, 2^8145392904 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 8145392904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392939520).

8145392904 is an abundant number, since it is smaller than the sum of its proper divisors (16640486136).

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

8145392904 is a wasteful number, since it uses less digits than its factorization.

8145392904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8145392904 is about 90251.8304745117. The cubic root of 8145392904 is about 2012.0434079277.

The spelling of 8145392904 in words is "eight billion, one hundred forty-five million, three hundred ninety-two thousand, nine hundred four".