228363147508752 has 200 divisors, whose sum is σ = 678833215691136. Its totient is φ = 74061484510464.

The previous prime is 228363147508721. The next prime is 228363147508753. The reversal of 228363147508752 is 257805741363822.

228363147508752 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 6 + 31 + 47 + 508 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 228363147508752.

It is not an unprimeable number, because it can be changed into a prime (228363147508753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2469625623 + ... + 2469718089.

Almost surely, 2^{228363147508752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228363147508752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339416607845568).

228363147508752 is an abundant number, since it is smaller than the sum of its proper divisors (450470068182384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228363147508752 is a wasteful number, since it uses less digits than its factorization.

228363147508752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144027 (or 144012 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 228363147508752 in words is "two hundred twenty-eight trillion, three hundred sixty-three billion, one hundred forty-seven million, five hundred eight thousand, seven hundred fifty-two".