9648746904384 has 168 divisors, whose sum is σ = 32697211272960. Its totient is φ = 2661723251712.

The previous prime is 9648746904383. The next prime is 9648746904443. The reversal of 9648746904384 is 4834096478469.

9648746904384 is a `hidden beast` number, since 9 + 6 + 4 + 87 + 469 + 0 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9648746904383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41142424 + ... + 41376279.

Almost surely, 2^{9648746904384} is an apocalyptic number.

It is an amenable number.

9648746904384 is an abundant number, since it is smaller than the sum of its proper divisors (23048464368576).

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

9648746904384 is a wasteful number, since it uses less digits than its factorization.

9648746904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82518757 (or 82518744 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 9648746904384 in words is "nine trillion, six hundred forty-eight billion, seven hundred forty-six million, nine hundred four thousand, three hundred eighty-four".