221214420432 has 60 divisors (see below), whose sum is σ = 621328240260. Its totient is φ = 73471924224.

The previous prime is 221214420419. The next prime is 221214420437. The reversal of 221214420432 is 234024412122.

It is a happy number.

221214420432 is a `hidden beast` number, since 2 + 21 + 214 + 420 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64189262736 + 157025157696 = 253356^2 + 396264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221214420396 and 221214420405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221214420437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2733057 + ... + 2812832.

It is an arithmetic number, because the mean of its divisors is an integer number (10355470671).

Almost surely, 2^221214420432 is an apocalyptic number.

It is an amenable number.

221214420432 is an abundant number, since it is smaller than the sum of its proper divisors (400113819828).

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

221214420432 is a wasteful number, since it uses less digits than its factorization.

221214420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5546180 (or 5546171 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 221214420432 its reverse (234024412122), we get a palindrome (455238832554).

The spelling of 221214420432 in words is "two hundred twenty-one billion, two hundred fourteen million, four hundred twenty thousand, four hundred thirty-two".