3901095064161 has 81 divisors (see below), whose sum is σ = 5888591610291. Its totient is φ = 2488649940000.

The previous prime is 3901095064129. The next prime is 3901095064177. The reversal of 3901095064161 is 1614605901093.

The square root of 3901095064161 is 1975119.

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

3901095064161 is a `hidden beast` number, since 3 + 90 + 10 + 9 + 506 + 41 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126856356561 + 3774238707600 = 356169^2 + 1942740^2 .

It is not a de Polignac number, because 3901095064161 - 2⁵ = 3901095064129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3901095064661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15542211286 + ... + 15542211536.

Almost surely, 2^{3901095064161} is an apocalyptic number.

3901095064161 is the 1975119-th square number.

3901095064161 is the 987560-th centered octagonal number.

It is an amenable number.

3901095064161 is a deficient number, since it is larger than the sum of its proper divisors (1987496546130).

3901095064161 is an frugal number, since it uses more digits than its factorization.

3901095064161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 3901095064161 in words is "three trillion, nine hundred one billion, ninety-five million, sixty-four thousand, one hundred sixty-one".