228355112462400 has 6804 divisors, whose sum is σ = 1135328289338880. Its totient is φ = 43320904704000.

The previous prime is 228355112462353. The next prime is 228355112462423. The reversal of 228355112462400 is 4264211553822.

228355112462400 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 5 + 5 + 1 + 12 + 4 + 624 + 0 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 955460721481 + ... + 955460721719.

Almost surely, 2^{228355112462400} is an apocalyptic number.

228355112462400 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 228355112462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567664144669440).

228355112462400 is an abundant number, since it is smaller than the sum of its proper divisors (906973176876480).

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

228355112462400 is a wasteful number, since it uses less digits than its factorization.

228355112462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 228355112462400 in words is "two hundred twenty-eight trillion, three hundred fifty-five billion, one hundred twelve million, four hundred sixty-two thousand, four hundred".