857442267648 has 150 divisors (see below), whose sum is σ = 2559802360731. Its totient is φ = 285751231488.

The previous prime is 857442267589. The next prime is 857442267677. The reversal of 857442267648 is 846762244758.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

857442267648 is a `hidden beast` number, since 85 + 7 + 442 + 2 + 6 + 76 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 428721133824 + 428721133824 = 654768^2 + 654768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=654768.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 188570911 + ... + 188575457.

Almost surely, 2^857442267648 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 857442267648

857442267648 is an abundant number, since it is smaller than the sum of its proper divisors (1702360093083).

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

857442267648 is an frugal number, since it uses more digits than its factorization.

857442267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124 (or 4552 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 857442267648 in words is "eight hundred fifty-seven billion, four hundred forty-two million, two hundred sixty-seven thousand, six hundred forty-eight".