228890112000 has 1664 divisors, whose sum is σ = 942093434880. Its totient is φ = 48660480000.

The previous prime is 228890111993. The next prime is 228890112053. The reversal of 228890112000 is 211098822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7383551985 + ... + 7383552015.

It is an arithmetic number, because the mean of its divisors is an integer number (566161920).

Almost surely, 2^228890112000 is an apocalyptic number.

228890112000 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 228890112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471046717440).

228890112000 is an abundant number, since it is smaller than the sum of its proper divisors (713203322880).

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

228890112000 is a wasteful number, since it uses less digits than its factorization.

228890112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 228890112000 in words is "two hundred twenty-eight billion, eight hundred ninety million, one hundred twelve thousand".