8254774528 has 144 divisors (see below), whose sum is σ = 22124059776. Its totient is φ = 2968657920.

The previous prime is 8254774403. The next prime is 8254774603.

8254774528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240150 + ... + 272362.

It is an arithmetic number, because the mean of its divisors is an integer number (153639304).

Almost surely, 2^8254774528 is an apocalyptic number.

8254774528 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 8254774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062029888).

8254774528 is an abundant number, since it is smaller than the sum of its proper divisors (13869285248).

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

8254774528 is a wasteful number, since it uses less digits than its factorization.

8254774528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32260 (or 32246 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 52.

The square root of 8254774528 is about 90855.7897329609. The cubic root of 8254774528 is about 2021.0097333944.

The spelling of 8254774528 in words is "eight billion, two hundred fifty-four million, seven hundred seventy-four thousand, five hundred twenty-eight".