221347475422128 has 320 divisors, whose sum is σ = 703055791549440. Its totient is φ = 66112826572800.

The previous prime is 221347475422109. The next prime is 221347475422211. The reversal of 221347475422128 is 821224574743122.

221347475422128 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 7 + 475 + 42 + 2 + 128 = 666.

221347475422128 is digitally balanced in base 2 and base 4, because in such bases 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307984176 + ... + 1308153392.

It is an arithmetic number, because the mean of its divisors is an integer number (2197049348592).

Almost surely, 2^{221347475422128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221347475422128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351527895774720).

221347475422128 is an abundant number, since it is smaller than the sum of its proper divisors (481708316127312).

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

221347475422128 is a wasteful number, since it uses less digits than its factorization.

221347475422128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173193 (or 173181 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 221347475422128 in words is "two hundred twenty-one trillion, three hundred forty-seven billion, four hundred seventy-five million, four hundred twenty-two thousand, one hundred twenty-eight".