228846643200 has 720 divisors, whose sum is σ = 968807679840. Its totient is φ = 52301168640.

The previous prime is 228846643189. The next prime is 228846643307. The reversal of 228846643200 is 2346648822.

228846643200 is a `hidden beast` number, since 2 + 288 + 46 + 6 + 4 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×228846643200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29026459 + ... + 29034341.

It is an arithmetic number, because the mean of its divisors is an integer number (1345566222).

Almost surely, 2^228846643200 is an apocalyptic number.

228846643200 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 228846643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484403839920).

228846643200 is an abundant number, since it is smaller than the sum of its proper divisors (739961036640).

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

228846643200 is an equidigital number, since it uses as much as digits as its factorization.

228846643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 228846643200 in words is "two hundred twenty-eight billion, eight hundred forty-six million, six hundred forty-three thousand, two hundred".