9946505967 has 16 divisors (see below), whose sum is σ = 13356894720. Its totient is φ = 6583643712.

The previous prime is 9946505953. The next prime is 9946506007. The reversal of 9946505967 is 7695056499.

It is not a de Polignac number, because 9946505967 - 2⁸ = 9946505711 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9946505967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946905967) 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, 498283 + ... + 517859.

It is an arithmetic number, because the mean of its divisors is an integer number (834805920).

Almost surely, 2^9946505967 is an apocalyptic number.

9946505967 is a deficient number, since it is larger than the sum of its proper divisors (3410388753).

9946505967 is a wasteful number, since it uses less digits than its factorization.

9946505967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20782.

The product of its (nonzero) digits is 18370800, while the sum is 60.

The square root of 9946505967 is about 99732.1711735987. The cubic root of 9946505967 is about 2150.5861727484.

The spelling of 9946505967 in words is "nine billion, nine hundred forty-six million, five hundred five thousand, nine hundred sixty-seven".