221642304464 has 120 divisors (see below), whose sum is σ = 511135142400. Its totient is φ = 92793001728.

The previous prime is 221642304451. The next prime is 221642304479. The reversal of 221642304464 is 464403246122.

It is a super-2 number, since 2×221642304464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20518937 + ... + 20529735.

It is an arithmetic number, because the mean of its divisors is an integer number (4259459520).

Almost surely, 2^221642304464 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 221642304464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255567571200).

221642304464 is an abundant number, since it is smaller than the sum of its proper divisors (289492837936).

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

221642304464 is a wasteful number, since it uses less digits than its factorization.

221642304464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11425 (or 11412 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 221642304464 in words is "two hundred twenty-one billion, six hundred forty-two million, three hundred four thousand, four hundred sixty-four".