228968898144 has 192 divisors, whose sum is σ = 702020390400. Its totient is φ = 65317486080.

The previous prime is 228968898131. The next prime is 228968898181. The reversal of 228968898144 is 441898869822.

228968898144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22484734 + ... + 22494914.

It is an arithmetic number, because the mean of its divisors is an integer number (3656356200).

Almost surely, 2^228968898144 is an apocalyptic number.

228968898144 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 228968898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351010195200).

228968898144 is an abundant number, since it is smaller than the sum of its proper divisors (473051492256).

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

228968898144 is a wasteful number, since it uses less digits than its factorization.

228968898144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10876 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 69.

It can be divided in two parts, 2289688 and 98144, that added together give a palindrome (2387832).

The spelling of 228968898144 in words is "two hundred twenty-eight billion, nine hundred sixty-eight million, eight hundred ninety-eight thousand, one hundred forty-four".