221106133992 has 192 divisors, whose sum is σ = 608726476800. Its totient is φ = 66833141760.

The previous prime is 221106133973. The next prime is 221106134027. The reversal of 221106133992 is 299331601122.

It is a self number, because there is not a number n which added to its sum of digits gives 221106133992.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132955353 + ... + 132957015.

It is an arithmetic number, because the mean of its divisors is an integer number (3170450400).

Almost surely, 2^221106133992 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 221106133992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304363238400).

221106133992 is an abundant number, since it is smaller than the sum of its proper divisors (387620342808).

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

221106133992 is a wasteful number, since it uses less digits than its factorization.

221106133992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 221106133992 in words is "two hundred twenty-one billion, one hundred six million, one hundred thirty-three thousand, nine hundred ninety-two".