845927186049 has 81 divisors (see below), whose sum is σ = 1374576527779. Its totient is φ = 500928827520.

The previous prime is 845927186021. The next prime is 845927186057. The reversal of 845927186049 is 940681729548.

The square root of 845927186049 is 919743.

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

845927186049 is a `hidden beast` number, since 8 + 4 + 5 + 9 + 2 + 7 + 18 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 520151076225 + 325776109824 = 721215^2 + 570768^2 .

It is not a de Polignac number, because 845927186049 - 2¹³ = 845927177857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (845927186009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1426521097 + ... + 1426521689.

Almost surely, 2^845927186049 is an apocalyptic number.

845927186049 is the 919743-rd square number.

845927186049 is the 459872-nd centered octagonal number.

It is an amenable number.

845927186049 is a deficient number, since it is larger than the sum of its proper divisors (528649341730).

845927186049 is an equidigital number, since it uses as much as digits as its factorization.

845927186049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 845927186049 in words is "eight hundred forty-five billion, nine hundred twenty-seven million, one hundred eighty-six thousand, forty-nine".