852564142336 has 27 divisors (see below), whose sum is σ = 1701827445801. Its totient is φ = 426274684416.

The previous prime is 852564142333. The next prime is 852564142337. The reversal of 852564142336 is 633241465258.

The square root of 852564142336 is 923344.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53757204736 + 798806937600 = 231856^2 + 893760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 852564142336.

It is not an unprimeable number, because it can be changed into a prime (852564142333) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14744650 + ... + 14802358.

Almost surely, 2^852564142336 is an apocalyptic number.

852564142336 is the 923344-th square number.

It is an amenable number.

852564142336 is a deficient number, since it is larger than the sum of its proper divisors (849263303465).

852564142336 is an frugal number, since it uses more digits than its factorization.

852564142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115434 (or 57711 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

Multiplying 852564142336 by its sum of digits (49), we get a square (41775642974464 = 6463408²).

The spelling of 852564142336 in words is "eight hundred fifty-two billion, five hundred sixty-four million, one hundred forty-two thousand, three hundred thirty-six".