201094204416 has 704 divisors, whose sum is σ = 673882094592. Its totient is φ = 52017758208.

The previous prime is 201094204403. The next prime is 201094204447. The reversal of 201094204416 is 614402490102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879385035 + ... + 1879385141.

Almost surely, 2^201094204416 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 201094204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336941047296).

201094204416 is an abundant number, since it is smaller than the sum of its proper divisors (472787890176).

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

201094204416 is a wasteful number, since it uses less digits than its factorization.

201094204416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 201094204416 its reverse (614402490102), we get a palindrome (815496694518).

The spelling of 201094204416 in words is "two hundred one billion, ninety-four million, two hundred four thousand, four hundred sixteen".