852381512064 has 112 divisors (see below), whose sum is σ = 2545991288820. Its totient is φ = 284127139584.

The previous prime is 852381512053. The next prime is 852381512069. The reversal of 852381512064 is 460215183258.

852381512064 is a `hidden beast` number, since 8 + 52 + 3 + 81 + 512 + 0 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852381512069) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 4474062 + ... + 4660685.

Almost surely, 2^852381512064 is an apocalyptic number.

It is an amenable number.

852381512064 is an abundant number, since it is smaller than the sum of its proper divisors (1693609776756).

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

852381512064 is an frugal number, since it uses more digits than its factorization.

852381512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134779 (or 9134752 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 852381512064 in words is "eight hundred fifty-two billion, three hundred eighty-one million, five hundred twelve thousand, sixty-four".