228978368365824 has 1728 divisors, whose sum is σ = 851023425208320. Its totient is φ = 57499839774720.

The previous prime is 228978368365807. The next prime is 228978368365829. The reversal of 228978368365824 is 428563863879822.

228978368365824 is a `hidden beast` number, since 2 + 2 + 89 + 78 + 36 + 8 + 365 + 82 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228978368365829) 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 191 ways as a sum of consecutive naturals, for example, 175731671157 + ... + 175731672459.

Almost surely, 2^{228978368365824} is an apocalyptic number.

228978368365824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228978368365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425511712604160).

228978368365824 is an abundant number, since it is smaller than the sum of its proper divisors (622045056842496).

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

228978368365824 is a wasteful number, since it uses less digits than its factorization.

228978368365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1651 counting only the distinct ones).

The product of its digits is 13377208320, while the sum is 81.

It can be divided in two parts, 2289783 and 68365824, that added together give a palindrome (70655607).

The spelling of 228978368365824 in words is "two hundred twenty-eight trillion, nine hundred seventy-eight billion, three hundred sixty-eight million, three hundred sixty-five thousand, eight hundred twenty-four".