228115742457001 has 27 divisors (see below), whose sum is σ = 265782257835159. Its totient is φ = 195216496093248.

The previous prime is 228115742456999. The next prime is 228115742457011. The reversal of 228115742457001 is 100754247511822.

The square root of 228115742457001 is 15103501.

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., 109669088234601 + 118446654222400 = 10472301^2 + 10883320^2 .

It is not a de Polignac number, because 228115742457001 - 2¹ = 228115742456999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228115742457011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 87434165985 + ... + 87434168593.

Almost surely, 2^{228115742457001} is an apocalyptic number.

228115742457001 is the 15103501-st square number.

228115742457001 is the 7551751-st centered octagonal number.

It is an amenable number.

228115742457001 is a deficient number, since it is larger than the sum of its proper divisors (37666515378158).

228115742457001 is an frugal number, since it uses more digits than its factorization.

228115742457001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 49.

228115742457001 divided by its sum of digits (49) gives a square (4655423315449 = 2157643²).

Adding to 228115742457001 its reverse (100754247511822), we get a palindrome (328869989968823).

The spelling of 228115742457001 in words is "two hundred twenty-eight trillion, one hundred fifteen billion, seven hundred forty-two million, four hundred fifty-seven thousand, one".