228064735344600 has 7680 divisors, whose sum is σ = 1125518362214400. Its totient is φ = 41385738240000.

The previous prime is 228064735344583. The next prime is 228064735344623. The reversal of 228064735344600 is 6443537460822.

228064735344600 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 6 + 47 + 3 + 534 + 4 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 2018271994144 + ... + 2018271994256.

It is an arithmetic number, because the mean of its divisors is an integer number (146551870080).

Almost surely, 2^{228064735344600} is an apocalyptic number.

228064735344600 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 228064735344600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562759181107200).

228064735344600 is an abundant number, since it is smaller than the sum of its proper divisors (897453626869800).

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

228064735344600 is a wasteful number, since it uses less digits than its factorization.

228064735344600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 228064735344600 in words is "two hundred twenty-eight trillion, sixty-four billion, seven hundred thirty-five million, three hundred forty-four thousand, six hundred".