649473198201 has 27 divisors (see below), whose sum is σ = 942030951277. Its totient is φ = 431188200960.

The previous prime is 649473198181. The next prime is 649473198217. The reversal of 649473198201 is 102891374946.

The square root of 649473198201 is 805899.

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

649473198201 is a `hidden beast` number, since 6 + 494 + 73 + 1 + 9 + 82 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 352640007225 + 296833190976 = 593835^2 + 544824^2 .

It is not a de Polignac number, because 649473198201 - 2⁵ = 649473198169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (649473198221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 853446661 + ... + 853447421.

Almost surely, 2^649473198201 is an apocalyptic number.

649473198201 is the 805899-th square number.

649473198201 is the 402950-th centered octagonal number.

It is an amenable number.

649473198201 is a deficient number, since it is larger than the sum of its proper divisors (292557753076).

649473198201 is an frugal number, since it uses more digits than its factorization.

649473198201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 649473198201 in words is "six hundred forty-nine billion, four hundred seventy-three million, one hundred ninety-eight thousand, two hundred one".