268219374201 has 9 divisors (see below), whose sum is σ = 387430229199. Its totient is φ = 178811880336.

The previous prime is 268219374151. The next prime is 268219374217. The reversal of 268219374201 is 102473912862.

The square root of 268219374201 is 517899.

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

268219374201 is a `hidden beast` number, since 2 + 6 + 8 + 219 + 3 + 7 + 420 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43566125625 + 224653248576 = 208725^2 + 473976^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 268219374201 - 2¹⁵ = 268219341433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268219374221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1467381 + ... + 1640013.

Almost surely, 2^268219374201 is an apocalyptic number.

268219374201 is the 517899-th square number.

268219374201 is the 258950-th centered octagonal number.

It is an amenable number.

268219374201 is a deficient number, since it is larger than the sum of its proper divisors (119210854998).

268219374201 is an frugal number, since it uses more digits than its factorization.

268219374201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345272 (or 172636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 268219374201 in words is "two hundred sixty-eight billion, two hundred nineteen million, three hundred seventy-four thousand, two hundred one".