221035968048 has 80 divisors (see below), whose sum is σ = 653683447296. Its totient is φ = 63046579200.

The previous prime is 221035968047. The next prime is 221035968091. The reversal of 221035968048 is 840869530122.

221035968048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 221035967988 and 221035968006.

It is not an unprimeable number, because it can be changed into a prime (221035968047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 355428 + ... + 753923.

Almost surely, 2^221035968048 is an apocalyptic number.

221035968048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

221035968048 is an abundant number, since it is smaller than the sum of its proper divisors (432647479248).

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

221035968048 is a wasteful number, since it uses less digits than its factorization.

221035968048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109962 (or 1109956 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 221035968048 in words is "two hundred twenty-one billion, thirty-five million, nine hundred sixty-eight thousand, forty-eight".