221200146194664 has 256 divisors, whose sum is σ = 689992905530880. Its totient is φ = 57534875320320.

The previous prime is 221200146194659. The next prime is 221200146194681. The reversal of 221200146194664 is 466491641002122.

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, 2384578044 + ... + 2384670804.

It is an arithmetic number, because the mean of its divisors is an integer number (2695284787230).

Almost surely, 2^{221200146194664} is an apocalyptic number.

221200146194664 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 221200146194664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344996452765440).

221200146194664 is an abundant number, since it is smaller than the sum of its proper divisors (468792759336216).

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

221200146194664 is a wasteful number, since it uses less digits than its factorization.

221200146194664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107820 (or 107816 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

Adding to 221200146194664 its reverse (466491641002122), we get a palindrome (687691787196786).

The spelling of 221200146194664 in words is "two hundred twenty-one trillion, two hundred billion, one hundred forty-six million, one hundred ninety-four thousand, six hundred sixty-four".