228290256381312 has 384 divisors, whose sum is σ = 713969657856000. Its totient is φ = 69750595584000.

The previous prime is 228290256381307. The next prime is 228290256381347. The reversal of 228290256381312 is 213183652092822.

It is a happy number.

228290256381312 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 9 + 0 + 256 + 381 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3257577889 + ... + 3257647967.

It is an arithmetic number, because the mean of its divisors is an integer number (1859295984000).

Almost surely, 2^{228290256381312} 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 228290256381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356984828928000).

228290256381312 is an abundant number, since it is smaller than the sum of its proper divisors (485679401474688).

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

228290256381312 is a wasteful number, since it uses less digits than its factorization.

228290256381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74950 (or 74935 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 228290256381312 in words is "two hundred twenty-eight trillion, two hundred ninety billion, two hundred fifty-six million, three hundred eighty-one thousand, three hundred twelve".