221305375104 has 128 divisors (see below), whose sum is σ = 641470786560. Its totient is φ = 67042560000.

The previous prime is 221305375091. The next prime is 221305375147. The reversal of 221305375104 is 401573503122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21541489 + ... + 21551759.

It is an arithmetic number, because the mean of its divisors is an integer number (5011490520).

Almost surely, 2^221305375104 is an apocalyptic number.

221305375104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221305375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320735393280).

221305375104 is an abundant number, since it is smaller than the sum of its proper divisors (420165411456).

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

221305375104 is a wasteful number, since it uses less digits than its factorization.

221305375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400 (or 15388 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 221305375104 its reverse (401573503122), we get a palindrome (622878878226).

The spelling of 221305375104 in words is "two hundred twenty-one billion, three hundred five million, three hundred seventy-five thousand, one hundred four".