199464958225 has 27 divisors (see below), whose sum is σ = 267864951249. Its totient is φ = 147275762400.

The previous prime is 199464958219. The next prime is 199464958271. The reversal of 199464958225 is 522859464991.

The square root of 199464958225 is 446615.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51412388049 + 148052570176 = 226743^2 + 384776^2 .

It is not a de Polignac number, because 199464958225 - 2¹⁹ = 199464433937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 29026540 + ... + 29033410.

Almost surely, 2^199464958225 is an apocalyptic number.

199464958225 is the 446615-th square number.

199464958225 is the 223308-th centered octagonal number.

It is an amenable number.

199464958225 is a deficient number, since it is larger than the sum of its proper divisors (68399993024).

199464958225 is an frugal number, since it uses more digits than its factorization.

199464958225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778 (or 6889 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 64.

Multiplying 199464958225 by its sum of digits (64), we get a square (12765757326400 = 3572920²).

The spelling of 199464958225 in words is "one hundred ninety-nine billion, four hundred sixty-four million, nine hundred fifty-eight thousand, two hundred twenty-five".