221011454105344 has 72 divisors (see below), whose sum is σ = 504187912618208. Its totient is φ = 94718155161600.

The previous prime is 221011454105333. The next prime is 221011454105347. The reversal of 221011454105344 is 443501454110122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011454105347) 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 7 ways as a sum of consecutive naturals, for example, 175448944 + ... + 176704144.

Almost surely, 2^{221011454105344} is an apocalyptic number.

It is an amenable number.

221011454105344 is an abundant number, since it is smaller than the sum of its proper divisors (283176458512864).

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

221011454105344 is an equidigital number, since it uses as much as digits as its factorization.

221011454105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353481 (or 1353467 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The spelling of 221011454105344 in words is "two hundred twenty-one trillion, eleven billion, four hundred fifty-four million, one hundred five thousand, three hundred forty-four".