9948009643104 has 96 divisors (see below), whose sum is σ = 28123738120800. Its totient is φ = 3060764946432.

The previous prime is 9948009643037. The next prime is 9948009643171. The reversal of 9948009643104 is 4013469008499.

It is an interprime number because it is at equal distance from previous prime (9948009643037) and next prime (9948009643171).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24696564 + ... + 25096140.

It is an arithmetic number, because the mean of its divisors is an integer number (292955605425).

Almost surely, 2^{9948009643104} is an apocalyptic number.

It is an amenable number.

9948009643104 is an abundant number, since it is smaller than the sum of its proper divisors (18175728477696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9948009643104 is a wasteful number, since it uses less digits than its factorization.

9948009643104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419552 (or 419544 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 9948009643104 in words is "nine trillion, nine hundred forty-eight billion, nine million, six hundred forty-three thousand, one hundred four".