849180680100 has 189 divisors, whose sum is σ = 2763628979923. Its totient is φ = 226381832640.

The previous prime is 849180680083. The next prime is 849180680119. The reversal of 849180680100 is 1086081948.

The square root of 849180680100 is 921510.

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

849180680100 is a `hidden beast` number, since 8 + 491 + 80 + 6 + 80 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130782043044 + 718398637056 = 361638^2 + 847584^2 .

It is a super-2 number, since 2×849180680100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 248805994 + ... + 248809406.

Almost surely, 2^849180680100 is an apocalyptic number.

849180680100 is the 921510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849180680100

849180680100 is an abundant number, since it is smaller than the sum of its proper divisors (1914448299823).

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

849180680100 is an frugal number, since it uses more digits than its factorization.

849180680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 849180680100 in words is "eight hundred forty-nine billion, one hundred eighty million, six hundred eighty thousand, one hundred".