228401046121249 has 9 divisors (see below), whose sum is σ = 228634855558707. Its totient is φ = 228167475587184.

The previous prime is 228401046121207. The next prime is 228401046121279. The reversal of 228401046121249 is 942121640104822.

The square root of 228401046121249 is 15112943.

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

It can be written as a sum of positive squares in only one way, i.e., 207146733263649 + 21254312857600 = 14392593^2 + 4610240^2 .

It is a de Polignac number, because none of the positive numbers 2^k-228401046121249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 228401046121199 and 228401046121208.

It is not an unprimeable number, because it can be changed into a prime (228401046121279) 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, 15853470004 + ... + 15853484410.

Almost surely, 2^{228401046121249} is an apocalyptic number.

228401046121249 is the 15112943-rd square number.

228401046121249 is the 7556472-nd centered octagonal number.

It is an amenable number.

228401046121249 is a deficient number, since it is larger than the sum of its proper divisors (233809437458).

228401046121249 is an frugal number, since it uses more digits than its factorization.

228401046121249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 228401046121249 in words is "two hundred twenty-eight trillion, four hundred one billion, forty-six million, one hundred twenty-one thousand, two hundred forty-nine".