221053983872 has 72 divisors (see below), whose sum is σ = 456408672915. Its totient is φ = 106641246208.

The previous prime is 221053983869. The next prime is 221053983883. The reversal of 221053983872 is 278389350122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 187295066176 + 33758917696 = 432776^2 + 183736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332456.

It is a super-2 number, since 2×221053983872² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221053983872.

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, 154258868 + ... + 154260300.

Almost surely, 2^221053983872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221053983872

221053983872 is an abundant number, since it is smaller than the sum of its proper divisors (235354689043).

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

221053983872 is an frugal number, since it uses more digits than its factorization.

221053983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

Multiplying 221053983872 by its sum of digits (50), we get a square (11052699193600 = 3324560²).

The spelling of 221053983872 in words is "two hundred twenty-one billion, fifty-three million, nine hundred eighty-three thousand, eight hundred seventy-two".