228764563461 has 24 divisors (see below), whose sum is σ = 386425490880. Its totient is φ = 127682545536.

The previous prime is 228764563453. The next prime is 228764563463. The reversal of 228764563461 is 164365467822.

228764563461 is a `hidden beast` number, since 2 + 2 + 8 + 76 + 4 + 563 + 4 + 6 + 1 = 666.

It is not a de Polignac number, because 228764563461 - 2³ = 228764563453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228764563398 and 228764563407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228764563463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42220356 + ... + 42225773.

It is an arithmetic number, because the mean of its divisors is an integer number (16101062120).

Almost surely, 2^228764563461 is an apocalyptic number.

228764563461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

228764563461 is a deficient number, since it is larger than the sum of its proper divisors (157660927419).

228764563461 is a wasteful number, since it uses less digits than its factorization.

228764563461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84446185 (or 84446182 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 228764563461 in words is "two hundred twenty-eight billion, seven hundred sixty-four million, five hundred sixty-three thousand, four hundred sixty-one".