201631637160 has 192 divisors, whose sum is σ = 705853025280. Its totient is φ = 49771560960.

The previous prime is 201631637153. The next prime is 201631637161. The reversal of 201631637160 is 61736136102.

201631637160 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 3 + 1 + 637 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201631637161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136089 + ... + 649448.

It is an arithmetic number, because the mean of its divisors is an integer number (3676317840).

Almost surely, 2^201631637160 is an apocalyptic number.

201631637160 is a gapful number since it is divisible by the number (20) 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 201631637160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352926512640).

201631637160 is an abundant number, since it is smaller than the sum of its proper divisors (504221388120).

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

201631637160 is a wasteful number, since it uses less digits than its factorization.

201631637160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785608 (or 785601 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 201631637160 in words is "two hundred one billion, six hundred thirty-one million, six hundred thirty-seven thousand, one hundred sixty".