221401110024144 has 240 divisors, whose sum is σ = 629794590705280. Its totient is φ = 72598109552640.

The previous prime is 221401110024067. The next prime is 221401110024221. The reversal of 221401110024144 is 441420011104122.

221401110024144 is a `hidden beast` number, since 2 + 2 + 1 + 401 + 1 + 10 + 0 + 241 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (221401110024067) and next prime (221401110024221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2266384869 + ... + 2266482555.

Almost surely, 2^{221401110024144} is an apocalyptic number.

221401110024144 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 221401110024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314897295352640).

221401110024144 is an abundant number, since it is smaller than the sum of its proper divisors (408393480681136).

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

221401110024144 is a wasteful number, since it uses less digits than its factorization.

221401110024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98778 (or 98769 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 221401110024144 its reverse (441420011104122), we get a palindrome (662821121128266).

The spelling of 221401110024144 in words is "two hundred twenty-one trillion, four hundred one billion, one hundred ten million, twenty-four thousand, one hundred forty-four".