8158254984 has 288 divisors, whose sum is σ = 26504906400. Its totient is φ = 2305428480.

The previous prime is 8158254983. The next prime is 8158255019. The reversal of 8158254984 is 4894528518.

8158254984 is a `hidden beast` number, since 8 + 1 + 582 + 54 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8158254984.

It is not an unprimeable number, because it can be changed into a prime (8158254983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74846322 + ... + 74846430.

It is an arithmetic number, because the mean of its divisors is an integer number (92030925).

Almost surely, 2^8158254984 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 8158254984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13252453200).

8158254984 is an abundant number, since it is smaller than the sum of its proper divisors (18346651416).

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

8158254984 is a wasteful number, since it uses less digits than its factorization.

8158254984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 142 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 8158254984 is about 90323.0589827426. The cubic root of 8158254984 is about 2013.1018980448.

The spelling of 8158254984 in words is "eight billion, one hundred fifty-eight million, two hundred fifty-four thousand, nine hundred eighty-four".