9661904893801 has 32 divisors (see below), whose sum is σ = 10085928652800. Its totient is φ = 9244363645440.

The previous prime is 9661904893777. The next prime is 9661904893829. The reversal of 9661904893801 is 1083984091669.

9661904893801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9661904893801 - 2¹³ = 9661904885609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9661904893841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082753640 + ... + 2082758278.

It is an arithmetic number, because the mean of its divisors is an integer number (315185270400).

Almost surely, 2^{9661904893801} is an apocalyptic number.

It is an amenable number.

9661904893801 is a deficient number, since it is larger than the sum of its proper divisors (424023758999).

9661904893801 is a wasteful number, since it uses less digits than its factorization.

9661904893801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169.

The product of its (nonzero) digits is 20155392, while the sum is 64.

The spelling of 9661904893801 in words is "nine trillion, six hundred sixty-one billion, nine hundred four million, eight hundred ninety-three thousand, eight hundred one".