228565641600 has 576 divisors, whose sum is σ = 828179024400. Its totient is φ = 60018278400.

The previous prime is 228565641599. The next prime is 228565641611. The reversal of 228565641600 is 6146565822.

228565641600 is a `hidden beast` number, since 2 + 2 + 85 + 6 + 564 + 1 + 6 + 0 + 0 = 666.

228565641600 is digitally balanced in base 3, 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 (576).

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 71 ways as a sum of consecutive naturals, for example, 849686266 + ... + 849686534.

Almost surely, 2^228565641600 is an apocalyptic number.

228565641600 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 228565641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414089512200).

228565641600 is an abundant number, since it is smaller than the sum of its proper divisors (599613382800).

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

228565641600 is a wasteful number, since it uses less digits than its factorization.

228565641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 228565641600 in words is "two hundred twenty-eight billion, five hundred sixty-five million, six hundred forty-one thousand, six hundred".