2957681664001 has 12 divisors (see below), whose sum is σ = 3141965962512. Its totient is φ = 2783639405888.

The previous prime is 2957681663977. The next prime is 2957681664073. The reversal of 2957681664001 is 1004661867592.

It is not a de Polignac number, because 2957681664001 - 2¹¹ = 2957681661953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2957601664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18358866 + ... + 18519268.

It is an arithmetic number, because the mean of its divisors is an integer number (261830496876).

Almost surely, 2^{2957681664001} is an apocalyptic number.

It is an amenable number.

2957681664001 is a deficient number, since it is larger than the sum of its proper divisors (184284298511).

2957681664001 is a wasteful number, since it uses less digits than its factorization.

2957681664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224240 (or 224223 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 2957681664001 in words is "two trillion, nine hundred fifty-seven billion, six hundred eighty-one million, six hundred sixty-four thousand, one".