228363587712 has 320 divisors, whose sum is σ = 740146037400. Its totient is φ = 69472567296.

The previous prime is 228363587693. The next prime is 228363587731. The reversal of 228363587712 is 217785363822.

228363587712 is a `hidden beast` number, since 2 + 28 + 36 + 3 + 587 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (228363587693) and next prime (228363587731).

It can be written as a sum of positive squares in 4 ways, for example, as 45022049856 + 183341537856 = 212184^2 + 428184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11986258 + ... + 12005294.

Almost surely, 2^228363587712 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 228363587712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370073018700).

228363587712 is an abundant number, since it is smaller than the sum of its proper divisors (511782449688).

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

228363587712 is a wasteful number, since it uses less digits than its factorization.

228363587712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19165 (or 19144 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 228363587712 in words is "two hundred twenty-eight billion, three hundred sixty-three million, five hundred eighty-seven thousand, seven hundred twelve".