199067521138641 has 45 divisors (see below), whose sum is σ = 297955767405241. Its totient is φ = 132451875257688.

The previous prime is 199067521138627. The next prime is 199067521138643. The reversal of 199067521138641 is 146831125760991.

The square root of 199067521138641 is 14109129.

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

199067521138641 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 67 + 521 + 1 + 3 + 8 + 6 + 41 = 666.

It is not a de Polignac number, because 199067521138641 - 2³⁵ = 199033161400273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199067521138643) 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 44 ways as a sum of consecutive naturals, for example, 82157456956 + ... + 82157459378.

It is a 1-persistent number, because it is pandigital, but 2⋅199067521138641 = 398135042277282 is not.

Almost surely, 2^{199067521138641} is an apocalyptic number.

199067521138641 is the 14109129-th square number.

199067521138641 is the 7054565-th centered octagonal number.

It is an amenable number.

199067521138641 is a deficient number, since it is larger than the sum of its proper divisors (98888246266600).

199067521138641 is an frugal number, since it uses more digits than its factorization.

199067521138641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 199067521138641 in words is "one hundred ninety-nine trillion, sixty-seven billion, five hundred twenty-one million, one hundred thirty-eight thousand, six hundred forty-one".