8254342434528 has 96 divisors (see below), whose sum is σ = 24087286782720. Its totient is φ = 2750062181760.

The previous prime is 8254342434523. The next prime is 8254342434529.

8254342434528 is a `hidden beast` number, since 8 + 2 + 5 + 43 + 42 + 4 + 34 + 528 = 666.

8254342434528 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8254342434523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687268 + ... + 4120803.

It is an arithmetic number, because the mean of its divisors is an integer number (250909237320).

Almost surely, 2^{8254342434528} 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 8254342434528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043643391360).

8254342434528 is an abundant number, since it is smaller than the sum of its proper divisors (15832944348192).

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

8254342434528 is a wasteful number, since it uses less digits than its factorization.

8254342434528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810077 (or 4810063 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 8254342434528 in words is "eight trillion, two hundred fifty-four billion, three hundred forty-two million, four hundred thirty-four thousand, five hundred twenty-eight".