201327745248 has 288 divisors, whose sum is σ = 694596337344. Its totient is φ = 53998534656.

The previous prime is 201327745237. The next prime is 201327745249. The reversal of 201327745248 is 842547723102.

201327745248 is a `hidden beast` number, since 20 + 1 + 32 + 7 + 74 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×201327745248² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201327745249) 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, 13598586 + ... + 13613382.

It is an arithmetic number, because the mean of its divisors is an integer number (2411792838).

Almost surely, 2^201327745248 is an apocalyptic number.

201327745248 is a gapful number since it is divisible by the number (28) 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 201327745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347298168672).

201327745248 is an abundant number, since it is smaller than the sum of its proper divisors (493268592096).

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

201327745248 is a wasteful number, since it uses less digits than its factorization.

201327745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15234 (or 15223 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 201327745248 in words is "two hundred one billion, three hundred twenty-seven million, seven hundred forty-five thousand, two hundred forty-eight".