8185074408 has 128 divisors (see below), whose sum is σ = 26067859200. Its totient is φ = 2331078912.

The previous prime is 8185074329. The next prime is 8185074409. The reversal of 8185074408 is 8044705818.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8185074409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470766 + ... + 487842.

It is an arithmetic number, because the mean of its divisors is an integer number (203655150).

Almost surely, 2^8185074408 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 8185074408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033929600).

8185074408 is an abundant number, since it is smaller than the sum of its proper divisors (17882784792).

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

8185074408 is a wasteful number, since it uses less digits than its factorization.

8185074408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17416 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8185074408 is about 90471.4010502767. The cubic root of 8185074408 is about 2015.3054402987.

The spelling of 8185074408 in words is "eight billion, one hundred eighty-five million, seventy-four thousand, four hundred eight".