228425619856000 has 768 divisors, whose sum is σ = 705019995463680. Its totient is φ = 73129512960000.

The previous prime is 228425619855989. The next prime is 228425619856001. The reversal of 228425619856000 is 658916524822.

It is not an unprimeable number, because it can be changed into a prime (228425619856001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1692588525 + ... + 1692723475.

It is an arithmetic number, because the mean of its divisors is an integer number (917994785760).

Almost surely, 2^{228425619856000} is an apocalyptic number.

228425619856000 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 228425619856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352509997731840).

228425619856000 is an abundant number, since it is smaller than the sum of its proper divisors (476594375607680).

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

228425619856000 is a wasteful number, since it uses less digits than its factorization.

228425619856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135138 (or 135109 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 228425619856000 in words is "two hundred twenty-eight trillion, four hundred twenty-five billion, six hundred nineteen million, eight hundred fifty-six thousand".