228156825600 has 1344 divisors, whose sum is σ = 951713372160. Its totient is φ = 53526528000.

The previous prime is 228156825599. The next prime is 228156825613. The reversal of 228156825600 is 6528651822.

It is a happy number.

228156825600 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 5 + 6 + 82 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7359897585 + ... + 7359897615.

Almost surely, 2^228156825600 is an apocalyptic number.

228156825600 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 228156825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475856686080).

228156825600 is an abundant number, since it is smaller than the sum of its proper divisors (723556546560).

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

228156825600 is an equidigital number, since it uses as much as digits as its factorization.

228156825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 228156825600 in words is "two hundred twenty-eight billion, one hundred fifty-six million, eight hundred twenty-five thousand, six hundred".