228822746563584 has 176 divisors, whose sum is σ = 679431656355840. Its totient is φ = 76075095859200.

The previous prime is 228822746563573. The next prime is 228822746563657. The reversal of 228822746563584 is 485365647228822.

228822746563584 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 2 + 2 + 7 + 4 + 6 + 563 + 58 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215367 + ... + 21393734.

Almost surely, 2^{228822746563584} is an apocalyptic number.

228822746563584 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 228822746563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339715828177920).

228822746563584 is an abundant number, since it is smaller than the sum of its proper divisors (450608909792256).

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

228822746563584 is a wasteful number, since it uses less digits than its factorization.

228822746563584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21609513 (or 21609489 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 228822746563584 in words is "two hundred twenty-eight trillion, eight hundred twenty-two billion, seven hundred forty-six million, five hundred sixty-three thousand, five hundred eighty-four".