3631607354561 has 16 divisors (see below), whose sum is σ = 3903634695168. Its totient is φ = 3366423648000.

The previous prime is 3631607354483. The next prime is 3631607354647. The reversal of 3631607354561 is 1654537061363.

It is a cyclic number.

It is not a de Polignac number, because 3631607354561 - 2³⁰ = 3630533612737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3631607359561) 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 15 ways as a sum of consecutive naturals, for example, 5208935 + ... + 5864828.

It is an arithmetic number, because the mean of its divisors is an integer number (243977168448).

Almost surely, 2^{3631607354561} is an apocalyptic number.

It is an amenable number.

3631607354561 is a deficient number, since it is larger than the sum of its proper divisors (272027340607).

3631607354561 is a wasteful number, since it uses less digits than its factorization.

3631607354561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11074072.

The product of its (nonzero) digits is 4082400, while the sum is 50.

The spelling of 3631607354561 in words is "three trillion, six hundred thirty-one billion, six hundred seven million, three hundred fifty-four thousand, five hundred sixty-one".