221414627446120 has 256 divisors, whose sum is σ = 535009489344000. Its totient is φ = 82282894848000.

The previous prime is 221414627445967. The next prime is 221414627446151. The reversal of 221414627446120 is 21644726414122.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148165946 + ... + 2148269014.

It is an arithmetic number, because the mean of its divisors is an integer number (2089880817750).

Almost surely, 2^{221414627446120} is an apocalyptic number.

221414627446120 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 221414627446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267504744672000).

221414627446120 is an abundant number, since it is smaller than the sum of its proper divisors (313594861897880).

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

221414627446120 is a wasteful number, since it uses less digits than its factorization.

221414627446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103644 (or 103640 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 221414627446120 in words is "two hundred twenty-one trillion, four hundred fourteen billion, six hundred twenty-seven million, four hundred forty-six thousand, one hundred twenty".