201998168731632 has 320 divisors, whose sum is σ = 655860072268800. Its totient is φ = 53233407876096.

The previous prime is 201998168731631. The next prime is 201998168731649. The reversal of 201998168731632 is 236137861899102.

It is a happy number.

It is a super-3 number, since 3×201998168731632³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201998168731631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279378778 + ... + 280100870.

It is an arithmetic number, because the mean of its divisors is an integer number (2049562725840).

Almost surely, 2^{201998168731632} 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 201998168731632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327930036134400).

201998168731632 is an abundant number, since it is smaller than the sum of its proper divisors (453861903537168).

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

201998168731632 is a wasteful number, since it uses less digits than its factorization.

201998168731632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723445 (or 723425 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 201998168731632 in words is "two hundred one trillion, nine hundred ninety-eight billion, one hundred sixty-eight million, seven hundred thirty-one thousand, six hundred thirty-two".