228632716789632 has 512 divisors, whose sum is σ = 694742116032000. Its totient is φ = 74021420132352.

The previous prime is 228632716789591. The next prime is 228632716789651. The reversal of 228632716789632 is 236987617236822.

228632716789632 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 327 + 167 + 89 + 63 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196588749883 + ... + 196588751045.

It is an arithmetic number, because the mean of its divisors is an integer number (1356918195375).

Almost surely, 2^{228632716789632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228632716789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347371058016000).

228632716789632 is an abundant number, since it is smaller than the sum of its proper divisors (466109399242368).

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

228632716789632 is an equidigital number, since it uses as much as digits as its factorization.

228632716789632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2328 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 228632716789632 in words is "two hundred twenty-eight trillion, six hundred thirty-two billion, seven hundred sixteen million, seven hundred eighty-nine thousand, six hundred thirty-two".