201774745823232 has 192 divisors, whose sum is σ = 560719312695360. Its totient is φ = 64463729983488.

The previous prime is 201774745823207. The next prime is 201774745823281. The reversal of 201774745823232 is 232328547477102.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8607148 + ... + 21854804.

It is an arithmetic number, because the mean of its divisors is an integer number (2920413086955).

Almost surely, 2^{201774745823232} 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 201774745823232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280359656347680).

201774745823232 is an abundant number, since it is smaller than the sum of its proper divisors (358944566872128).

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

201774745823232 is a wasteful number, since it uses less digits than its factorization.

201774745823232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247786 (or 13247766 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 57.

The spelling of 201774745823232 in words is "two hundred one trillion, seven hundred seventy-four billion, seven hundred forty-five million, eight hundred twenty-three thousand, two hundred thirty-two".