221409961600 has 48 divisors (see below), whose sum is σ = 546951803670. Its totient is φ = 88563983360.

The previous prime is 221409961589. The next prime is 221409961601. The reversal of 221409961600 is 6169904122.

It can be written as a sum of positive squares in 3 ways, for example, as 90418084416 + 130991877184 = 300696^2 + 361928^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (221409961601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34592107 + ... + 34598506.

Almost surely, 2^221409961600 is an apocalyptic number.

221409961600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221409961600 is an abundant number, since it is smaller than the sum of its proper divisors (325541842070).

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

221409961600 is an equidigital number, since it uses as much as digits as its factorization.

221409961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69190637 (or 69190620 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 221409961600 in words is "two hundred twenty-one billion, four hundred nine million, nine hundred sixty-one thousand, six hundred".