227456514144 has 144 divisors (see below), whose sum is σ = 653160231360. Its totient is φ = 75080355840.

The previous prime is 227456514127. The next prime is 227456514163. The reversal of 227456514144 is 441415654722.

227456514144 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 565 + 1 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 227456514144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12449464 + ... + 12467720.

It is an arithmetic number, because the mean of its divisors is an integer number (4535834940).

Almost surely, 2^227456514144 is an apocalyptic number.

227456514144 is a gapful number since it is divisible by the number (24) 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 227456514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326580115680).

227456514144 is an abundant number, since it is smaller than the sum of its proper divisors (425703717216).

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

227456514144 is a wasteful number, since it uses less digits than its factorization.

227456514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693 (or 18682 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 227456514144 in words is "two hundred twenty-seven billion, four hundred fifty-six million, five hundred fourteen thousand, one hundred forty-four".