201873463272 has 256 divisors, whose sum is σ = 618924768000. Its totient is φ = 60573671424.

The previous prime is 201873463271. The next prime is 201873463289. The reversal of 201873463272 is 272364378102.

201873463272 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 7 + 3 + 4 + 632 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (201873463271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121829868 + ... + 121831524.

It is an arithmetic number, because the mean of its divisors is an integer number (2417674875).

Almost surely, 2^201873463272 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 201873463272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309462384000).

201873463272 is an abundant number, since it is smaller than the sum of its proper divisors (417051304728).

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

201873463272 is a wasteful number, since it uses less digits than its factorization.

201873463272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 201873463272 in words is "two hundred one billion, eight hundred seventy-three million, four hundred sixty-three thousand, two hundred seventy-two".