221502143414144 has 128 divisors (see below), whose sum is σ = 471748725000000. Its totient is φ = 103339215175680.

The previous prime is 221502143414131. The next prime is 221502143414231. The reversal of 221502143414144 is 441414341205122.

It is a happy number.

221502143414144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 221502143414098 and 221502143414107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012476482 + ... + 1012695230.

Almost surely, 2^{221502143414144} 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 221502143414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235874362500000).

221502143414144 is an abundant number, since it is smaller than the sum of its proper divisors (250246581585856).

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

221502143414144 is a wasteful number, since it uses less digits than its factorization.

221502143414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227216 (or 227204 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

Adding to 221502143414144 its reverse (441414341205122), we get a palindrome (662916484619266).

The spelling of 221502143414144 in words is "two hundred twenty-one trillion, five hundred two billion, one hundred forty-three million, four hundred fourteen thousand, one hundred forty-four".