3901134566641 has 27 divisors (see below), whose sum is σ = 4259205471171. Its totient is φ = 3571538865024.

The previous prime is 3901134566629. The next prime is 3901134566767. The reversal of 3901134566641 is 1466654311093.

The square root of 3901134566641 is 1975129.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3782523206641 + 118611360000 = 1944871^2 + 344400^2 .

It is not a de Polignac number, because 3901134566641 - 2¹³ = 3901134558449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3901134566621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3517704195 + ... + 3517705303.

Almost surely, 2^{3901134566641} is an apocalyptic number.

3901134566641 is the 1975129-th square number.

3901134566641 is the 987565-th centered octagonal number.

It is an amenable number.

3901134566641 is a deficient number, since it is larger than the sum of its proper divisors (358070904530).

3901134566641 is an frugal number, since it uses more digits than its factorization.

3901134566641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 3901134566641 by its sum of digits (49), we get a square (191155593765409 = 13825903²).

The spelling of 3901134566641 in words is "three trillion, nine hundred one billion, one hundred thirty-four million, five hundred sixty-six thousand, six hundred forty-one".