9478468810314 has 384 divisors, whose sum is σ = 26077702464000. Its totient is φ = 2535688157184.

The previous prime is 9478468810309. The next prime is 9478468810319. The reversal of 9478468810314 is 4130188648749.

9478468810314 is a `hidden beast` number, since 9 + 478 + 46 + 8 + 8 + 103 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (9478468810309) and next prime (9478468810319).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9478468810319) 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 191 ways as a sum of consecutive naturals, for example, 13368784992 + ... + 13368785700.

It is an arithmetic number, because the mean of its divisors is an integer number (67910683500).

Almost surely, 2^{9478468810314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9478468810314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13038851232000).

9478468810314 is an abundant number, since it is smaller than the sum of its proper divisors (16599233653686).

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

9478468810314 is a wasteful number, since it uses less digits than its factorization.

9478468810314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 9478468810314 in words is "nine trillion, four hundred seventy-eight billion, four hundred sixty-eight million, eight hundred ten thousand, three hundred fourteen".