221643441705725 has 48 divisors (see below), whose sum is σ = 296360204847504. Its totient is φ = 163464618240000.

The previous prime is 221643441705641. The next prime is 221643441705761. The reversal of 221643441705725 is 527507144346122.

221643441705725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 120919295461561 + 100724146244164 = 10996331^2 + 10036142^2 .

It is not a de Polignac number, because 221643441705725 - 2³⁴ = 221626261836541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816011039 + ... + 816282611.

It is an arithmetic number, because the mean of its divisors is an integer number (6174170934323).

Almost surely, 2^{221643441705725} is an apocalyptic number.

221643441705725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221643441705725 is a deficient number, since it is larger than the sum of its proper divisors (74716763141779).

221643441705725 is a wasteful number, since it uses less digits than its factorization.

221643441705725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274818 (or 274813 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 221643441705725 in words is "two hundred twenty-one trillion, six hundred forty-three billion, four hundred forty-one million, seven hundred five thousand, seven hundred twenty-five".