201533816832 has 144 divisors (see below), whose sum is σ = 539192499552. Its totient is φ = 66956820480.

The previous prime is 201533816821. The next prime is 201533816857. The reversal of 201533816832 is 238618335102.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 156106107 + ... + 156107397.

It is an arithmetic number, because the mean of its divisors is an integer number (3744392358).

Almost surely, 2^201533816832 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 201533816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269596249776).

201533816832 is an abundant number, since it is smaller than the sum of its proper divisors (337658682720).

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

201533816832 is an frugal number, since it uses more digits than its factorization.

201533816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 201533816832 in words is "two hundred one billion, five hundred thirty-three million, eight hundred sixteen thousand, eight hundred thirty-two".