228153600000 has 864 divisors, whose sum is σ = 875826052920. Its totient is φ = 57016320000.

The previous prime is 228153599963. The next prime is 228153600023. The reversal of 228153600000 is 6351822.

228153600000 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 53 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 107983217664 + 120170382336 = 328608^2 + 346656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 979199884 + ... + 979200116.

Almost surely, 2^228153600000 is an apocalyptic number.

228153600000 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 228153600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437913026460).

228153600000 is an abundant number, since it is smaller than the sum of its proper divisors (647672452920).

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

228153600000 is an equidigital number, since it uses as much as digits as its factorization.

228153600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 228153600000 its reverse (6351822), we get a palindrome (228159951822).

The spelling of 228153600000 in words is "two hundred twenty-eight billion, one hundred fifty-three million, six hundred thousand".