221785992072 has 36 divisors (see below), whose sum is σ = 600681218085. Its totient is φ = 73927332000.

The previous prime is 221785992061. The next prime is 221785992079. The reversal of 221785992072 is 270299587122.

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.

221785992072 is a `hidden beast` number, since 2 + 21 + 7 + 8 + 599 + 20 + 7 + 2 = 666.

221785992072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 195854042916 + 25931949156 = 442554^2 + 161034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333006.

It is a super-2 number, since 2×221785992072² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221785992079) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3968322 + ... + 4023822.

Almost surely, 2^221785992072 is an apocalyptic number.

It is an amenable number.

221785992072 is an abundant number, since it is smaller than the sum of its proper divisors (378895226013).

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

221785992072 is an frugal number, since it uses more digits than its factorization.

221785992072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111014 (or 55506 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 221785992072 in words is "two hundred twenty-one billion, seven hundred eighty-five million, nine hundred ninety-two thousand, seventy-two".