8254994528 has 48 divisors (see below), whose sum is σ = 17795589840. Its totient is φ = 3738278400.

The previous prime is 8254994477. The next prime is 8254994533.

8254994528 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×8254994528³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51098 + ... + 138278.

It is an arithmetic number, because the mean of its divisors is an integer number (370741455).

Almost surely, 2^8254994528 is an apocalyptic number.

8254994528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8254994528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897794920).

8254994528 is an abundant number, since it is smaller than the sum of its proper divisors (9540595312).

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

8254994528 is a wasteful number, since it uses less digits than its factorization.

8254994528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87471 (or 87463 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 56.

The square root of 8254994528 is about 90857.0004347491. Note that the first 3 decimals coincide. The cubic root of 8254994528 is about 2021.0276873753.

The spelling of 8254994528 in words is "eight billion, two hundred fifty-four million, nine hundred ninety-four thousand, five hundred twenty-eight".