9946782642801 has 8 divisors (see below), whose sum is σ = 13263477608800. Its totient is φ = 6630638052672.

The previous prime is 9946782642793. The next prime is 9946782642809. The reversal of 9946782642801 is 1082462876499.

It is an interprime number because it is at equal distance from previous prime (9946782642793) and next prime (9946782642809).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9946782642801 - 2³ = 9946782642793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9946782642809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137551795 + ... + 137624088.

It is an arithmetic number, because the mean of its divisors is an integer number (1657934701100).

Almost surely, 2^{9946782642801} is an apocalyptic number.

It is an amenable number.

9946782642801 is a deficient number, since it is larger than the sum of its proper divisors (3316694965999).

9946782642801 is a wasteful number, since it uses less digits than its factorization.

9946782642801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275187935.

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 9946782642801 in words is "nine trillion, nine hundred forty-six billion, seven hundred eighty-two million, six hundred forty-two thousand, eight hundred one".