226444391501328 has 1920 divisors, whose sum is σ = 910067591946240. Its totient is φ = 52968310456320.

The previous prime is 226444391501297. The next prime is 226444391501351. The reversal of 226444391501328 is 823105193444622.

226444391501328 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 4 + 43 + 91 + 501 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47945030775 + ... + 47945035497.

It is an arithmetic number, because the mean of its divisors is an integer number (473993537472).

Almost surely, 2^{226444391501328} is an apocalyptic number.

226444391501328 is a gapful number since it is divisible by the number (28) 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 226444391501328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455033795973120).

226444391501328 is an abundant number, since it is smaller than the sum of its proper divisors (683623200444912).

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

226444391501328 is a wasteful number, since it uses less digits than its factorization.

226444391501328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 226444391501328 in words is "two hundred twenty-six trillion, four hundred forty-four billion, three hundred ninety-one million, five hundred one thousand, three hundred twenty-eight".