221837616001 has 16 divisors (see below), whose sum is σ = 228098012688. Its totient is φ = 215618457600.

The previous prime is 221837615977. The next prime is 221837616029. The reversal of 221837616001 is 100616738122.

It can be written as a sum of positive squares in 8 ways, for example, as 212428810000 + 9408806001 = 460900^2 + 96999^2 .

It is a cyclic number.

It is not a de Polignac number, because 221837616001 - 2¹⁷ = 221837484929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221837616901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32348565 + ... + 32355421.

It is an arithmetic number, because the mean of its divisors is an integer number (14256125793).

Almost surely, 2^221837616001 is an apocalyptic number.

It is an amenable number.

221837616001 is a deficient number, since it is larger than the sum of its proper divisors (6260396687).

221837616001 is a wasteful number, since it uses less digits than its factorization.

221837616001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9732.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 221837616001 in words is "two hundred twenty-one billion, eight hundred thirty-seven million, six hundred sixteen thousand, one".