35486099194441 has 81 divisors (see below), whose sum is σ = 44342394586581. Its totient is φ = 28310051288064.

The previous prime is 35486099194433. The next prime is 35486099194451. The reversal of 35486099194441 is 14449199068453.

The square root of 35486099194441 is 5957021.

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 4329607954441 + 31156491240000 = 2080771^2 + 5581800^2 .

It is not a de Polignac number, because 35486099194441 - 2³ = 35486099194433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35486099194451) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80104061166 + ... + 80104061608.

Almost surely, 2^{35486099194441} is an apocalyptic number.

35486099194441 is the 5957021-st square number.

35486099194441 is the 2978511-st centered octagonal number.

It is an amenable number.

35486099194441 is a deficient number, since it is larger than the sum of its proper divisors (8856295392140).

35486099194441 is an frugal number, since it uses more digits than its factorization.

35486099194441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 67.

The spelling of 35486099194441 in words is "thirty-five trillion, four hundred eighty-six billion, ninety-nine million, one hundred ninety-four thousand, four hundred forty-one".