221905464048 has 30 divisors (see below), whose sum is σ = 621027097704. Its totient is φ = 73968487968.

The previous prime is 221905464029. The next prime is 221905464061. The reversal of 221905464048 is 840464509122.

It is a happy number.

221905464048 is a `hidden beast` number, since 2 + 2 + 190 + 54 + 6 + 404 + 8 = 666.

221905464048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221905464048³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221905463994 and 221905464012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 770504940 + ... + 770505227.

Almost surely, 2^221905464048 is an apocalyptic number.

It is an amenable number.

221905464048 is an abundant number, since it is smaller than the sum of its proper divisors (399121633656).

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

221905464048 is a wasteful number, since it uses less digits than its factorization.

221905464048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541010181 (or 1541010172 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 221905464048 in words is "two hundred twenty-one billion, nine hundred five million, four hundred sixty-four thousand, forty-eight".