228946174326720 has 336 divisors, whose sum is σ = 803634063279840. Its totient is φ = 59803588435968.

The previous prime is 228946174326679. The next prime is 228946174326733. The reversal of 228946174326720 is 27623471649822.

228946174326720 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 4 + 617 + 4 + 3 + 2 + 6 + 7 + 2 + 0 = 666.

228946174326720 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93272602 + ... + 95695718.

Almost surely, 2^{228946174326720} is an apocalyptic number.

228946174326720 is a gapful number since it is divisible by the number (20) 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 228946174326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401817031639920).

228946174326720 is an abundant number, since it is smaller than the sum of its proper divisors (574687888953120).

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

228946174326720 is a wasteful number, since it uses less digits than its factorization.

228946174326720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423812 (or 2423799 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 228946174326720 in words is "two hundred twenty-eight trillion, nine hundred forty-six billion, one hundred seventy-four million, three hundred twenty-six thousand, seven hundred twenty".