228874512384001 has 32 divisors (see below), whose sum is σ = 263147791582080. Its totient is φ = 196872844492800.

The previous prime is 228874512383999. The next prime is 228874512384019. The reversal of 228874512384001 is 100483215478822.

It is a cyclic number.

It is not a de Polignac number, because 228874512384001 - 2¹ = 228874512383999 is a prime.

It is a super-3 number, since 3×228874512384001³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228874512384041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083616461 + ... + 1083827653.

It is an arithmetic number, because the mean of its divisors is an integer number (8223368486940).

Almost surely, 2^{228874512384001} is an apocalyptic number.

It is an amenable number.

228874512384001 is a deficient number, since it is larger than the sum of its proper divisors (34273279198079).

228874512384001 is a wasteful number, since it uses less digits than its factorization.

228874512384001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217617.

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 228874512384001 in words is "two hundred twenty-eight trillion, eight hundred seventy-four billion, five hundred twelve million, three hundred eighty-four thousand, one".