201825149472 has 240 divisors, whose sum is σ = 661558091040. Its totient is φ = 59984934912.

The previous prime is 201825149467. The next prime is 201825149497. The reversal of 201825149472 is 274941528102.

201825149472 is a `hidden beast` number, since 2 + 0 + 18 + 25 + 149 + 472 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 716683 + ... + 957749.

It is an arithmetic number, because the mean of its divisors is an integer number (2756492046).

Almost surely, 2^201825149472 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 201825149472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330779045520).

201825149472 is an abundant number, since it is smaller than the sum of its proper divisors (459732941568).

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

201825149472 is a wasteful number, since it uses less digits than its factorization.

201825149472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241125 (or 241108 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 201825149472 in words is "two hundred one billion, eight hundred twenty-five million, one hundred forty-nine thousand, four hundred seventy-two".