314428226121 has 27 divisors (see below), whose sum is σ = 456285701781. Its totient is φ = 208648738944.

The previous prime is 314428226107. The next prime is 314428226131. The reversal of 314428226121 is 121622824413.

The square root of 314428226121 is 560739.

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

314428226121 is a `hidden beast` number, since 3 + 1 + 4 + 428 + 226 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191883422025 + 122544804096 = 438045^2 + 350064^2 .

It is not a de Polignac number, because 314428226121 - 2¹⁵ = 314428193353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314428226131) 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 26 ways as a sum of consecutive naturals, for example, 688026525 + ... + 688026981.

Almost surely, 2^314428226121 is an apocalyptic number.

314428226121 is the 560739-th square number.

314428226121 is the 280370-th centered octagonal number.

It is an amenable number.

314428226121 is a deficient number, since it is larger than the sum of its proper divisors (141857475660).

314428226121 is an frugal number, since it uses more digits than its factorization.

314428226121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 869 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Multiplying 314428226121 by its sum of digits (36), we get a square (11319416140356 = 3364434²).

The spelling of 314428226121 in words is "three hundred fourteen billion, four hundred twenty-eight million, two hundred twenty-six thousand, one hundred twenty-one".