221639112552 has 768 divisors, whose sum is σ = 735093273600. Its totient is φ = 54682214400.

The previous prime is 221639112529. The next prime is 221639112659. The reversal of 221639112552 is 255211936122.

It is a super-3 number, since 3×221639112552³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 221639112552.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3308046423 + ... + 3308046489.

It is an arithmetic number, because the mean of its divisors is an integer number (957152700).

Almost surely, 2^221639112552 is an apocalyptic number.

221639112552 is a gapful number since it is divisible by the number (22) 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 221639112552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367546636800).

221639112552 is an abundant number, since it is smaller than the sum of its proper divisors (513454161048).

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

221639112552 is a wasteful number, since it uses less digits than its factorization.

221639112552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The spelling of 221639112552 in words is "two hundred twenty-one billion, six hundred thirty-nine million, one hundred twelve thousand, five hundred fifty-two".