191937444514201 has 9 divisors (see below), whose sum is σ = 192422854705053. Its totient is φ = 191453255860800.

The previous prime is 191937444514187. The next prime is 191937444514223. The reversal of 191937444514201 is 102415444739191.

The square root of 191937444514201 is 13854149.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 175830225489801 + 16107219024400 = 13260099^2 + 4013380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-191937444514201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191937444514241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5555496475 + ... + 5555531023.

Almost surely, 2^{191937444514201} is an apocalyptic number.

191937444514201 is the 13854149-th square number.

191937444514201 is the 6927075-th centered octagonal number.

It is an amenable number.

191937444514201 is a deficient number, since it is larger than the sum of its proper divisors (485410190852).

191937444514201 is an frugal number, since it uses more digits than its factorization.

191937444514201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69900 (or 34950 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 191937444514201 in words is "one hundred ninety-one trillion, nine hundred thirty-seven billion, four hundred forty-four million, five hundred fourteen thousand, two hundred one".