221542664310 has 576 divisors, whose sum is σ = 695279422656. Its totient is φ = 48709140480.

The previous prime is 221542664281. The next prime is 221542664311. The reversal of 221542664310 is 13466245122.

221542664310 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 4 + 2 + 6 + 643 + 1 + 0 = 666.

It is a super-2 number, since 2×221542664310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221542664311) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 657396462 + ... + 657396798.

It is an arithmetic number, because the mean of its divisors is an integer number (1207082331).

Almost surely, 2^221542664310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221542664310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347639711328).

221542664310 is an abundant number, since it is smaller than the sum of its proper divisors (473736758346).

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

221542664310 is a wasteful number, since it uses less digits than its factorization.

221542664310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 221542664310 in words is "two hundred twenty-one billion, five hundred forty-two million, six hundred sixty-four thousand, three hundred ten".