849696804100 has 27 divisors (see below), whose sum is σ = 1843862067957. Its totient is φ = 339875034480.

The previous prime is 849696804071. The next prime is 849696804101. The reversal of 849696804100 is 1408696948.

The square root of 849696804100 is 921790.

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., 305890849476 + 543805954624 = 553074^2 + 737432^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (849696804101) by changing a digit.

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, 9171811 + ... + 9263989.

Almost surely, 2^849696804100 is an apocalyptic number.

849696804100 is the 921790-th square number.

It is an amenable number.

849696804100 is an abundant number, since it is smaller than the sum of its proper divisors (994165263857).

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

849696804100 is an frugal number, since it uses more digits than its factorization.

849696804100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184372 (or 92186 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

It can be divided in two parts, 849696 and 804100, that added together give a square (1653796 = 1286²).

The spelling of 849696804100 in words is "eight hundred forty-nine billion, six hundred ninety-six million, eight hundred four thousand, one hundred".