228830977927104 has 336 divisors, whose sum is σ = 706022800027776. Its totient is φ = 65220190156800.

The previous prime is 228830977927067. The next prime is 228830977927127. The reversal of 228830977927104 is 401729779038822.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26209018419 + ... + 26209027149.

It is an arithmetic number, because the mean of its divisors is an integer number (2101258333416).

Almost surely, 2^{228830977927104} is an apocalyptic number.

228830977927104 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 228830977927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353011400013888).

228830977927104 is an abundant number, since it is smaller than the sum of its proper divisors (477191822100672).

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

228830977927104 is a wasteful number, since it uses less digits than its factorization.

228830977927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15264 (or 15247 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 69.

The spelling of 228830977927104 in words is "two hundred twenty-eight trillion, eight hundred thirty billion, nine hundred seventy-seven million, nine hundred twenty-seven thousand, one hundred four".