849516142864 has 45 divisors (see below), whose sum is σ = 1700973860709. Its totient is φ = 411000896640.

The previous prime is 849516142831. The next prime is 849516142877. The reversal of 849516142864 is 468241615948.

The square root of 849516142864 is 921692.

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., 50652003600 + 798864139264 = 225060^2 + 893792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 849516142799 and 849516142808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114286092 + ... + 114293524.

Almost surely, 2^849516142864 is an apocalyptic number.

849516142864 is the 921692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849516142864

849516142864 is an abundant number, since it is smaller than the sum of its proper divisors (851457717845).

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

849516142864 is an frugal number, since it uses more digits than its factorization.

849516142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14936 (or 7466 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 849516142864 in words is "eight hundred forty-nine billion, five hundred sixteen million, one hundred forty-two thousand, eight hundred sixty-four".