9468472418496 has 1344 divisors, whose sum is σ = 35572406059008. Its totient is φ = 2430570074112.

The previous prime is 9468472418437. The next prime is 9468472418521. The reversal of 9468472418496 is 6948142748649.

9468472418496 is a `hidden beast` number, since 9 + 4 + 68 + 4 + 72 + 4 + 1 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 18824000581 + ... + 18824001083.

It is an arithmetic number, because the mean of its divisors is an integer number (26467564032).

Almost surely, 2^{9468472418496} is an apocalyptic number.

9468472418496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9468472418496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786203029504).

9468472418496 is an abundant number, since it is smaller than the sum of its proper divisors (26103933640512).

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

9468472418496 is a wasteful number, since it uses less digits than its factorization.

9468472418496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 858 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 9468472418496 in words is "nine trillion, four hundred sixty-eight billion, four hundred seventy-two million, four hundred eighteen thousand, four hundred ninety-six".