221368368004 has 45 divisors (see below), whose sum is σ = 452027679621. Its totient is φ = 94852396800.

The previous prime is 221368367893. The next prime is 221368368083. The reversal of 221368368004 is 400863863122.

The square root of 221368368004 is 470498.

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., 127879190404 + 93489177600 = 357602^2 + 305760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 46106404 + ... + 46111204.

Almost surely, 2^221368368004 is an apocalyptic number.

221368368004 is the 470498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221368368004

221368368004 is an abundant number, since it is smaller than the sum of its proper divisors (230659311617).

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

221368368004 is an frugal number, since it uses more digits than its factorization.

221368368004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9634 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 221368368004 in words is "two hundred twenty-one billion, three hundred sixty-eight million, three hundred sixty-eight thousand, four".