201667241232 has 240 divisors, whose sum is σ = 630372600000. Its totient is φ = 59811250176.

The previous prime is 201667241221. The next prime is 201667241263. The reversal of 201667241232 is 232142766102.

201667241232 is a `hidden beast` number, since 20 + 166 + 7 + 241 + 232 = 666.

201667241232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×201667241232⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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 47 ways as a sum of consecutive naturals, for example, 23205144 + ... + 23213832.

It is an arithmetic number, because the mean of its divisors is an integer number (2626552500).

Almost surely, 2^201667241232 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 201667241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315186300000).

201667241232 is an abundant number, since it is smaller than the sum of its proper divisors (428705358768).

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

201667241232 is a wasteful number, since it uses less digits than its factorization.

201667241232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 201667241232 in words is "two hundred one billion, six hundred sixty-seven million, two hundred forty-one thousand, two hundred thirty-two".