8457819201 has 80 divisors (see below), whose sum is σ = 14521239040. Its totient is φ = 4862488320.

The previous prime is 8457819199. The next prime is 8457819203. The reversal of 8457819201 is 1029187548.

8457819201 is a `hidden beast` number, since 8 + 457 + 8 + 192 + 0 + 1 = 666.

8457819201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8457819199) and next prime (8457819203).

It is not a de Polignac number, because 8457819201 - 2¹ = 8457819199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8457819203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1457616 + ... + 1463406.

It is an arithmetic number, because the mean of its divisors is an integer number (181515488).

Almost surely, 2^8457819201 is an apocalyptic number.

8457819201 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8457819201 is a deficient number, since it is larger than the sum of its proper divisors (6063419839).

8457819201 is a wasteful number, since it uses less digits than its factorization.

8457819201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 8457819201 is about 91966.4025663720. The cubic root of 8457819201 is about 2037.4461185696.

The spelling of 8457819201 in words is "eight billion, four hundred fifty-seven million, eight hundred nineteen thousand, two hundred one".