228971340976401 has 21 divisors (see below), whose sum is σ = 343300579207851. Its totient is φ = 152647288278552.

The previous prime is 228971340976393. The next prime is 228971340976423. The reversal of 228971340976401 is 104679043179822.

The square root of 228971340976401 is 15131799.

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

228971340976401 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 7 + 134 + 0 + 97 + 6 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138856646225025 + 90114694751376 = 11783745^2 + 9492876^2 .

It is not a de Polignac number, because 228971340976401 - 2³ = 228971340976393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (228971340976471) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 408278355 + ... + 408838791.

Almost surely, 2^{228971340976401} is an apocalyptic number.

228971340976401 is the 15131799-th square number.

228971340976401 is the 7565900-th centered octagonal number.

It is an amenable number.

228971340976401 is a deficient number, since it is larger than the sum of its proper divisors (114329238231450).

228971340976401 is an frugal number, since it uses more digits than its factorization.

228971340976401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120892 (or 560440 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 228971340976401 in words is "two hundred twenty-eight trillion, nine hundred seventy-one billion, three hundred forty million, nine hundred seventy-six thousand, four hundred one".