478366311168 has 720 divisors, whose sum is σ = 1581290726400. Its totient is φ = 143237652480.

The previous prime is 478366311091. The next prime is 478366311271. The reversal of 478366311168 is 861113663874.

478366311168 is a `hidden beast` number, since 478 + 3 + 6 + 6 + 3 + 1 + 1 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 647315343 + ... + 647316081.

It is an arithmetic number, because the mean of its divisors is an integer number (2196237120).

Almost surely, 2^478366311168 is an apocalyptic number.

478366311168 is a gapful number since it is divisible by the number (48) 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 478366311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790645363200).

478366311168 is an abundant number, since it is smaller than the sum of its proper divisors (1102924415232).

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

478366311168 is a wasteful number, since it uses less digits than its factorization.

478366311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 847 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 478366311168 in words is "four hundred seventy-eight billion, three hundred sixty-six million, three hundred eleven thousand, one hundred sixty-eight".