221483572128 has 960 divisors, whose sum is σ = 856712989440. Its totient is φ = 54500179968.

The previous prime is 221483572117. The next prime is 221483572151. The reversal of 221483572128 is 821275384122.

221483572128 is a `hidden beast` number, since 2 + 21 + 48 + 3 + 572 + 12 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327154126 + ... + 327154802.

It is an arithmetic number, because the mean of its divisors is an integer number (892409364).

Almost surely, 2^221483572128 is an apocalyptic number.

221483572128 is a gapful number since it is divisible by the number (28) 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 221483572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428356494720).

221483572128 is an abundant number, since it is smaller than the sum of its proper divisors (635229417312).

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

221483572128 is a wasteful number, since it uses less digits than its factorization.

221483572128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 794 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 221483572128 in words is "two hundred twenty-one billion, four hundred eighty-three million, five hundred seventy-two thousand, one hundred twenty-eight".