228135613305600 has 10368 divisors, whose sum is σ = 1227547831910400. Its totient is φ = 38860790169600.

The previous prime is 228135613305583. The next prime is 228135613305623. The reversal of 228135613305600 is 6503316531822.

228135613305600 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 3 + 5 + 6 + 1 + 3 + 30 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 1151 ways as a sum of consecutive naturals, for example, 1366081516717 + ... + 1366081516883.

Almost surely, 2^{228135613305600} is an apocalyptic number.

228135613305600 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 228135613305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613773915955200).

228135613305600 is an abundant number, since it is smaller than the sum of its proper divisors (999412218604800).

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

228135613305600 is a wasteful number, since it uses less digits than its factorization.

228135613305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 228135613305600 in words is "two hundred twenty-eight trillion, one hundred thirty-five billion, six hundred thirteen million, three hundred five thousand, six hundred".