228272550764544 has 1344 divisors, whose sum is σ = 801784846227456. Its totient is φ = 61630709760000.

The previous prime is 228272550764543. The next prime is 228272550764551. The reversal of 228272550764544 is 445467055272822.

228272550764544 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 7 + 2 + 550 + 76 + 4 + 5 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228272550764543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176818396539 + ... + 176818397829.

It is an arithmetic number, because the mean of its divisors is an integer number (596566105824).

Almost surely, 2^{228272550764544} is an apocalyptic number.

228272550764544 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 228272550764544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400892423113728).

228272550764544 is an abundant number, since it is smaller than the sum of its proper divisors (573512295462912).

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

228272550764544 is a wasteful number, since it uses less digits than its factorization.

228272550764544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 63.

The spelling of 228272550764544 in words is "two hundred twenty-eight trillion, two hundred seventy-two billion, five hundred fifty million, seven hundred sixty-four thousand, five hundred forty-four".