228857011632 has 320 divisors, whose sum is σ = 678620851200. Its totient is φ = 73819146240.

The previous prime is 228857011583. The next prime is 228857011651. The reversal of 228857011632 is 236110758822.

228857011632 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 5 + 7 + 0 + 1 + 1 + 632 = 666.

228857011632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449620594 + ... + 449621102.

It is an arithmetic number, because the mean of its divisors is an integer number (2120690160).

Almost surely, 2^228857011632 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 228857011632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339310425600).

228857011632 is an abundant number, since it is smaller than the sum of its proper divisors (449763839568).

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

228857011632 is a wasteful number, since it uses less digits than its factorization.

228857011632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 228857011632 in words is "two hundred twenty-eight billion, eight hundred fifty-seven million, eleven thousand, six hundred thirty-two".