221607445504 has 99 divisors (see below), whose sum is σ = 454075224357. Its totient is φ = 108099723264.

The previous prime is 221607445469. The next prime is 221607445511. The reversal of 221607445504 is 405544706122.

It is a happy number.

The square root of 221607445504 is 470752.

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

It can be written as a sum of positive squares in only one way, i.e., 1413760000 + 220193685504 = 37600^2 + 469248^2 .

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, 708010852 + ... + 708011164.

Almost surely, 2^221607445504 is an apocalyptic number.

221607445504 is the 470752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221607445504

221607445504 is an abundant number, since it is smaller than the sum of its proper divisors (232467778853).

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

221607445504 is an frugal number, since it uses more digits than its factorization.

221607445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 221607445504 in words is "two hundred twenty-one billion, six hundred seven million, four hundred forty-five thousand, five hundred four".