201116631352 has 128 divisors (see below), whose sum is σ = 479299968000. Its totient is φ = 78602880384.

The previous prime is 201116631341. The next prime is 201116631403. The reversal of 201116631352 is 253136611102.

201116631352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2926813 + ... + 2994739.

It is an arithmetic number, because the mean of its divisors is an integer number (3744531000).

Almost surely, 2^201116631352 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 201116631352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239649984000).

201116631352 is an abundant number, since it is smaller than the sum of its proper divisors (278183336648).

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

201116631352 is a wasteful number, since it uses less digits than its factorization.

201116631352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68050 (or 68032 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 201116631352 in words is "two hundred one billion, one hundred sixteen million, six hundred thirty-one thousand, three hundred fifty-two".