221486405952 has 112 divisors (see below), whose sum is σ = 670205895552. Its totient is φ = 63237120000.

The previous prime is 221486405897. The next prime is 221486405953. The reversal of 221486405952 is 259504684122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221486405953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1868452 + ... + 1983452.

Almost surely, 2^221486405952 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 221486405952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335102947776).

221486405952 is an abundant number, since it is smaller than the sum of its proper divisors (448719489600).

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

221486405952 is a wasteful number, since it uses less digits than its factorization.

221486405952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116456 (or 116446 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 221486405952 in words is "two hundred twenty-one billion, four hundred eighty-six million, four hundred five thousand, nine hundred fifty-two".