221080434768 has 240 divisors, whose sum is σ = 674500829184. Its totient is φ = 67391089920.

The previous prime is 221080434763. The next prime is 221080434793. The reversal of 221080434768 is 867434080122.

It is a happy number.

221080434768 is a `hidden beast` number, since 221 + 0 + 80 + 4 + 347 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221080434761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8508805 + ... + 8534747.

Almost surely, 2^221080434768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221080434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337250414592).

221080434768 is an abundant number, since it is smaller than the sum of its proper divisors (453420394416).

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

221080434768 is a wasteful number, since it uses less digits than its factorization.

221080434768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26094 (or 26085 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 221080434768 in words is "two hundred twenty-one billion, eighty million, four hundred thirty-four thousand, seven hundred sixty-eight".