201584150118 has 192 divisors, whose sum is σ = 507197998080. Its totient is φ = 59208095232.

The previous prime is 201584150107. The next prime is 201584150167. The reversal of 201584150118 is 811051485102.

201584150118 is a `hidden beast` number, since 20 + 1 + 584 + 1 + 50 + 1 + 1 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205069855 + ... + 205070837.

It is an arithmetic number, because the mean of its divisors is an integer number (2641656240).

Almost surely, 2^201584150118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201584150118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253598999040).

201584150118 is an abundant number, since it is smaller than the sum of its proper divisors (305613847962).

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

201584150118 is a wasteful number, since it uses less digits than its factorization.

201584150118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 201584150118 in words is "two hundred one billion, five hundred eighty-four million, one hundred fifty thousand, one hundred eighteen".