221014854144 has 480 divisors, whose sum is σ = 761855238144. Its totient is φ = 60351160320.

The previous prime is 221014854131. The next prime is 221014854187. The reversal of 221014854144 is 441458410122.

221014854144 is a `hidden beast` number, since 2 + 2 + 101 + 4 + 8 + 541 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 221014854099 and 221014854108.

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, 82993357 + ... + 82996019.

Almost surely, 2^221014854144 is an apocalyptic number.

221014854144 is a gapful number since it is divisible by the number (24) 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 221014854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380927619072).

221014854144 is an abundant number, since it is smaller than the sum of its proper divisors (540840384000).

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

221014854144 is a wasteful number, since it uses less digits than its factorization.

221014854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 221014854144 in words is "two hundred twenty-one billion, fourteen million, eight hundred fifty-four thousand, one hundred forty-four".