228951367437321 has 81 divisors (see below), whose sum is σ = 353129832721159. Its totient is φ = 142913486805888.

The previous prime is 228951367437301. The next prime is 228951367437329. The reversal of 228951367437321 is 123734763159822.

The square root of 228951367437321 is 15131139.

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

228951367437321 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 513 + 6 + 7 + 43 + 73 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178249334510025 + 50702032927296 = 13351005^2 + 7120536^2 .

It is not a de Polignac number, because 228951367437321 - 2¹⁹ = 228951366913033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228951367437329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 175173195550 + ... + 175173196856.

Almost surely, 2^{228951367437321} is an apocalyptic number.

228951367437321 is the 15131139-th square number.

228951367437321 is the 7565570-th centered octagonal number.

It is an amenable number.

228951367437321 is a deficient number, since it is larger than the sum of its proper divisors (124178465283838).

228951367437321 is an frugal number, since it uses more digits than its factorization.

228951367437321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 1554 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 228951367437321 in words is "two hundred twenty-eight trillion, nine hundred fifty-one billion, three hundred sixty-seven million, four hundred thirty-seven thousand, three hundred twenty-one".