227128305540864 has 864 divisors, whose sum is σ = 821689663979520. Its totient is φ = 54281782444032.

The previous prime is 227128305540793. The next prime is 227128305540881. The reversal of 227128305540864 is 468045503821722.

227128305540864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396747697 + ... + 397319759.

It is an arithmetic number, because the mean of its divisors is an integer number (951029703680).

Almost surely, 2^{227128305540864} is an apocalyptic number.

227128305540864 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 227128305540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410844831989760).

227128305540864 is an abundant number, since it is smaller than the sum of its proper divisors (594561358438656).

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

227128305540864 is a wasteful number, since it uses less digits than its factorization.

227128305540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572157 (or 572130 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 227128305540864 in words is "two hundred twenty-seven trillion, one hundred twenty-eight billion, three hundred five million, five hundred forty thousand, eight hundred sixty-four".