1636938566041 has 9 divisors (see below), whose sum is σ = 1640596925149. Its totient is φ = 1633288355104.

The previous prime is 1636938566027. The next prime is 1636938566047. The reversal of 1636938566041 is 1406658396361.

The square root of 1636938566041 is 1279429.

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 396432677641 + 1240505888400 = 629629^2 + 1113780^2 .

It is not a de Polignac number, because 1636938566041 - 2⁹ = 1636938565529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1636938566047) 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, 712640805 + ... + 712643101.

Almost surely, 2^{1636938566041} is an apocalyptic number.

1636938566041 is the 1279429-th square number.

1636938566041 is the 639715-th centered octagonal number.

It is an amenable number.

1636938566041 is a deficient number, since it is larger than the sum of its proper divisors (3658359108).

1636938566041 is an frugal number, since it uses more digits than its factorization.

1636938566041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 1636938566041 in words is "one trillion, six hundred thirty-six billion, nine hundred thirty-eight million, five hundred sixty-six thousand, forty-one".