201888949752001 has 8 divisors (see below), whose sum is σ = 202714159052520. Its totient is φ = 201064293731712.

The previous prime is 201888949751933. The next prime is 201888949752011. The reversal of 201888949752001 is 100257949888102.

It can be written as a sum of positive squares in 4 ways, for example, as 72128942751376 + 129760007000625 = 8492876^2 + 11391225^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201888949752001 - 2²³ = 201888941363393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201888949752011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137588770 + ... + 139048363.

It is an arithmetic number, because the mean of its divisors is an integer number (25339269881565).

Almost surely, 2^{201888949752001} is an apocalyptic number.

It is an amenable number.

201888949752001 is a deficient number, since it is larger than the sum of its proper divisors (825209300519).

201888949752001 is a wasteful number, since it uses less digits than its factorization.

201888949752001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276640115.

The product of its (nonzero) digits is 23224320, while the sum is 64.

The spelling of 201888949752001 in words is "two hundred one trillion, eight hundred eighty-eight billion, nine hundred forty-nine million, seven hundred fifty-two thousand, one".