201518401568 has 24 divisors (see below), whose sum is σ = 432806567760. Its totient is φ = 91599273280.

The previous prime is 201518401561. The next prime is 201518401681. The reversal of 201518401568 is 865104815102.

201518401568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201518401561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 286247378 + ... + 286248081.

It is an arithmetic number, because the mean of its divisors is an integer number (18033606990).

Almost surely, 2^201518401568 is an apocalyptic number.

It is an amenable number.

201518401568 is an abundant number, since it is smaller than the sum of its proper divisors (231288166192).

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

201518401568 is a wasteful number, since it uses less digits than its factorization.

201518401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572495480 (or 572495472 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 41.

The spelling of 201518401568 in words is "two hundred one billion, five hundred eighteen million, four hundred one thousand, five hundred sixty-eight".