228024640166400 has 5760 divisors, whose sum is σ = 1089050196326400. Its totient is φ = 46292904345600.

The previous prime is 228024640166399. The next prime is 228024640166413. The reversal of 228024640166400 is 4661046420822.

228024640166400 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 2 + 46 + 40 + 166 + 400 = 666.

228024640166400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

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 575 ways as a sum of consecutive naturals, for example, 1398924172719 + ... + 1398924172881.

It is an arithmetic number, because the mean of its divisors is an integer number (189071214640).

Almost surely, 2^{228024640166400} is an apocalyptic number.

228024640166400 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 228024640166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544525098163200).

228024640166400 is an abundant number, since it is smaller than the sum of its proper divisors (861025556160000).

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

228024640166400 is an equidigital number, since it uses as much as digits as its factorization.

228024640166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 250 counting only the distinct ones).

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

The spelling of 228024640166400 in words is "two hundred twenty-eight trillion, twenty-four billion, six hundred forty million, one hundred sixty-six thousand, four hundred".