228268212480 has 1296 divisors, whose sum is σ = 1025382443904. Its totient is φ = 47297986560.

The previous prime is 228268212479. The next prime is 228268212499. The reversal of 228268212480 is 84212862822.

228268212480 is a `hidden beast` number, since 2 + 2 + 82 + 6 + 82 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 646651984 + ... + 646652336.

Almost surely, 2^228268212480 is an apocalyptic number.

228268212480 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 228268212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512691221952).

228268212480 is an abundant number, since it is smaller than the sum of its proper divisors (797114231424).

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

228268212480 is an frugal number, since it uses more digits than its factorization.

228268212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 228268212480 in words is "two hundred twenty-eight billion, two hundred sixty-eight million, two hundred twelve thousand, four hundred eighty".