221725744128 has 264 divisors, whose sum is σ = 747267535872. Its totient is φ = 62001487872.

The previous prime is 221725744109. The next prime is 221725744159. The reversal of 221725744128 is 821447527122.

221725744128 is a `hidden beast` number, since 2 + 2 + 1 + 72 + 574 + 4 + 1 + 2 + 8 = 666.

221725744128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995501 + ... + 3068627.

It is an arithmetic number, because the mean of its divisors is an integer number (2830558848).

Almost surely, 2^221725744128 is an apocalyptic number.

221725744128 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 221725744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373633767936).

221725744128 is an abundant number, since it is smaller than the sum of its proper divisors (525541791744).

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

221725744128 is a wasteful number, since it uses less digits than its factorization.

221725744128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73207 (or 73186 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The spelling of 221725744128 in words is "two hundred twenty-one billion, seven hundred twenty-five million, seven hundred forty-four thousand, one hundred twenty-eight".