852923126649312 has 1536 divisors, whose sum is σ = 2783635410124800. Its totient is φ = 253165757644800.

The previous prime is 852923126649311. The next prime is 852923126649317. The reversal of 852923126649312 is 213946621329258.

852923126649312 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 2 + 3 + 126 + 6 + 493 + 12 = 666.

852923126649312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 852923126649312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852923126649311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 780350527038 + ... + 780350528130.

It is an arithmetic number, because the mean of its divisors is an integer number (1812262636800).

Almost surely, 2^{852923126649312} 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 852923126649312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391817705062400).

852923126649312 is an abundant number, since it is smaller than the sum of its proper divisors (1930712283475488).

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

852923126649312 is a wasteful number, since it uses less digits than its factorization.

852923126649312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1615 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 852923126649312 in words is "eight hundred fifty-two trillion, nine hundred twenty-three billion, one hundred twenty-six million, six hundred forty-nine thousand, three hundred twelve".