484245416638368 has 1728 divisors, whose sum is σ = 1836660093480576. Its totient is φ = 119560347648000.

The previous prime is 484245416638297. The next prime is 484245416638441. The reversal of 484245416638368 is 863836614542484.

484245416638368 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 454 + 166 + 3 + 8 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×484245416638368² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 484245416638296 and 484245416638305.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41541163996 + ... + 41541175652.

It is an arithmetic number, because the mean of its divisors is an integer number (1062881998542).

Almost surely, 2^{484245416638368} is an apocalyptic number.

484245416638368 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 484245416638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918330046740288).

484245416638368 is an abundant number, since it is smaller than the sum of its proper divisors (1352414676842208).

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

484245416638368 is a wasteful number, since it uses less digits than its factorization.

484245416638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11907 (or 11889 counting only the distinct ones).

The product of its digits is 2548039680, while the sum is 72.

The spelling of 484245416638368 in words is "four hundred eighty-four trillion, two hundred forty-five billion, four hundred sixteen million, six hundred thirty-eight thousand, three hundred sixty-eight".