8457667548 has 96 divisors (see below), whose sum is σ = 22800476160. Its totient is φ = 2414850240.

The previous prime is 8457667499. The next prime is 8457667577.

8457667548 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8457667491 and 8457667500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182623 + ... + 224201.

It is an arithmetic number, because the mean of its divisors is an integer number (237504960).

Almost surely, 2^8457667548 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 8457667548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400238080).

8457667548 is an abundant number, since it is smaller than the sum of its proper divisors (14342808612).

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

8457667548 is a wasteful number, since it uses less digits than its factorization.

8457667548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41687 (or 41685 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 8457667548 is about 91965.5780604896. The cubic root of 8457667548 is about 2037.4339410151.

The spelling of 8457667548 in words is "eight billion, four hundred fifty-seven million, six hundred sixty-seven thousand, five hundred forty-eight".