221612936960 has 72 divisors (see below), whose sum is σ = 531700078560. Its totient is φ = 88500252672.

The previous prime is 221612936939. The next prime is 221612936971. The reversal of 221612936960 is 69639216122.

It is a happy number.

It is a super-2 number, since 2×221612936960² (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 7 ways as a sum of consecutive naturals, for example, 643421 + ... + 925859.

Almost surely, 2^221612936960 is an apocalyptic number.

221612936960 is a gapful number since it is divisible by the number (20) 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 221612936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265850039280).

221612936960 is an abundant number, since it is smaller than the sum of its proper divisors (310087141600).

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

221612936960 is an equidigital number, since it uses as much as digits as its factorization.

221612936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283073 (or 283059 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The spelling of 221612936960 in words is "two hundred twenty-one billion, six hundred twelve million, nine hundred thirty-six thousand, nine hundred sixty".