221004319104 has 320 divisors, whose sum is σ = 694753889280. Its totient is φ = 69629414400.

The previous prime is 221004319069. The next prime is 221004319117. The reversal of 221004319104 is 401913400122.

It is a happy number.

221004319104 is a `hidden beast` number, since 2 + 210 + 0 + 431 + 9 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13812549 + ... + 13828539.

It is an arithmetic number, because the mean of its divisors is an integer number (2171105904).

Almost surely, 2^221004319104 is an apocalyptic number.

221004319104 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 221004319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347376944640).

221004319104 is an abundant number, since it is smaller than the sum of its proper divisors (473749570176).

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

221004319104 is a wasteful number, since it uses less digits than its factorization.

221004319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 221004319104 its reverse (401913400122), we get a palindrome (622917719226).

The spelling of 221004319104 in words is "two hundred twenty-one billion, four million, three hundred nineteen thousand, one hundred four".