35646619489441 has 9 divisors (see below), whose sum is σ = 35829667534899. Its totient is φ = 35464501968504.

The previous prime is 35646619489423. The next prime is 35646619489457. The reversal of 35646619489441 is 14498491664653.

The square root of 35646619489441 is 5970479.

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

It can be written as a sum of positive squares in only one way, i.e., 34926504318225 + 720115171216 = 5909865^2 + 848596^2 .

It is not a de Polignac number, because 35646619489441 - 2³⁹ = 35096863675553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35646619481441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1176169210 + ... + 1176199516.

Almost surely, 2^{35646619489441} is an apocalyptic number.

35646619489441 is the 5970479-th square number.

35646619489441 is the 2985240-th centered octagonal number.

It is an amenable number.

35646619489441 is a deficient number, since it is larger than the sum of its proper divisors (183048045458).

35646619489441 is an frugal number, since it uses more digits than its factorization.

35646619489441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61008 (or 30504 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 70.

The spelling of 35646619489441 in words is "thirty-five trillion, six hundred forty-six billion, six hundred nineteen million, four hundred eighty-nine thousand, four hundred forty-one".