8456531072 has 128 divisors (see below), whose sum is σ = 19280056320. Its totient is φ = 3657139200.

The previous prime is 8456531053. The next prime is 8456531087. The reversal of 8456531072 is 2701356548.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 7221047 + ... + 7222217.

It is an arithmetic number, because the mean of its divisors is an integer number (150625440).

Almost surely, 2^8456531072 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 8456531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640028160).

8456531072 is an abundant number, since it is smaller than the sum of its proper divisors (10823525248).

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

8456531072 is a wasteful number, since it uses less digits than its factorization.

8456531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 8456531072 is about 91959.3990410986. The cubic root of 8456531072 is about 2037.3426787184.

The spelling of 8456531072 in words is "eight billion, four hundred fifty-six million, five hundred thirty-one thousand, seventy-two".