859049068801 has 27 divisors (see below), whose sum is σ = 1098497566467. Its totient is φ = 669333273840.

The previous prime is 859049068793. The next prime is 859049068877. The reversal of 859049068801 is 108860940958.

The square root of 859049068801 is 926849.

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., 6979767025 + 852069301776 = 83545^2 + 923076^2 .

It is not a de Polignac number, because 859049068801 - 2³ = 859049068793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (859049008801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71361355 + ... + 71373391.

Almost surely, 2^859049068801 is an apocalyptic number.

859049068801 is the 926849-th square number.

859049068801 is the 463425-th centered octagonal number.

It is an amenable number.

859049068801 is a deficient number, since it is larger than the sum of its proper divisors (239448497666).

859049068801 is an frugal number, since it uses more digits than its factorization.

859049068801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24110 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 859049068801 in words is "eight hundred fifty-nine billion, forty-nine million, sixty-eight thousand, eight hundred one".