228385105096320 has 2560 divisors, whose sum is σ = 904946245632000. Its totient is φ = 54670381056000.

The previous prime is 228385105096261. The next prime is 228385105096349. The reversal of 228385105096320 is 23690501583822.

It is a happy number.

228385105096320 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 8 + 51 + 0 + 509 + 63 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 317642704921 + ... + 317642705639.

It is an arithmetic number, because the mean of its divisors is an integer number (353494627200).

Almost surely, 2^{228385105096320} is an apocalyptic number.

228385105096320 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 228385105096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452473122816000).

228385105096320 is an abundant number, since it is smaller than the sum of its proper divisors (676561140535680).

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

228385105096320 is a wasteful number, since it uses less digits than its factorization.

228385105096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 228385105096320 in words is "two hundred twenty-eight trillion, three hundred eighty-five billion, one hundred five million, ninety-six thousand, three hundred twenty".