226048320000 has 1600 divisors, whose sum is σ = 943415510400. Its totient is φ = 53747712000.

The previous prime is 226048319999. The next prime is 226048320007. The reversal of 226048320000 is 23840622.

226048320000 is a `hidden beast` number, since 22 + 604 + 8 + 32 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (226048320007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 11897279991 + ... + 11897280009.

It is an arithmetic number, because the mean of its divisors is an integer number (589634694).

Almost surely, 2^226048320000 is an apocalyptic number.

226048320000 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 226048320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471707755200).

226048320000 is an abundant number, since it is smaller than the sum of its proper divisors (717367190400).

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

226048320000 is an frugal number, since it uses more digits than its factorization.

226048320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 226048320000 in words is "two hundred twenty-six billion, forty-eight million, three hundred twenty thousand".