226914985440 has 2304 divisors, whose sum is σ = 1048090337280. Its totient is φ = 45121536000.

The previous prime is 226914985439. The next prime is 226914985441. The reversal of 226914985440 is 44589419622.

226914985440 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 1 + 4 + 98 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226914985439) and next prime (226914985441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226914985441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5534511820 + ... + 5534511860.

It is an arithmetic number, because the mean of its divisors is an integer number (454900320).

Almost surely, 2^226914985440 is an apocalyptic number.

226914985440 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 226914985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524045168640).

226914985440 is an abundant number, since it is smaller than the sum of its proper divisors (821175351840).

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

226914985440 is a wasteful number, since it uses less digits than its factorization.

226914985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 226914985440 in words is "two hundred twenty-six billion, nine hundred fourteen million, nine hundred eighty-five thousand, four hundred forty".