221601094057984 has 135 divisors (see below), whose sum is σ = 467818479609201. Its totient is φ = 104951790305280.

The previous prime is 221601094057969. The next prime is 221601094057999. The reversal of 221601094057984 is 489750490106122.

The square root of 221601094057984 is 14886272.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (221601094057969) and next prime (221601094057999).

It can be written as a sum of positive squares in only one way, i.e., 25368064835584 + 196233029222400 = 5036672^2 + 14008320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36203410444 + ... + 36203416564.

Almost surely, 2^{221601094057984} is an apocalyptic number.

221601094057984 is the 14886272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221601094057984

221601094057984 is an abundant number, since it is smaller than the sum of its proper divisors (246217385551217).

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

221601094057984 is an frugal number, since it uses more digits than its factorization.

221601094057984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 221601094057984 in words is "two hundred twenty-one trillion, six hundred one billion, ninety-four million, fifty-seven thousand, nine hundred eighty-four".