228321544640 has 448 divisors, whose sum is σ = 667146240000. Its totient is φ = 74253053952.

The previous prime is 228321544639. The next prime is 228321544643. The reversal of 228321544640 is 46445123822.

228321544640 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 (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228321544643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 376147217 + ... + 376147823.

Almost surely, 2^228321544640 is an apocalyptic number.

228321544640 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 228321544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333573120000).

228321544640 is an abundant number, since it is smaller than the sum of its proper divisors (438824695360).

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

228321544640 is a wasteful number, since it uses less digits than its factorization.

228321544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 228321544640 in words is "two hundred twenty-eight billion, three hundred twenty-one million, five hundred forty-four thousand, six hundred forty".