4918578163200 has 1260 divisors, whose sum is σ = 19790791946640. Its totient is φ = 1210338754560.

The previous prime is 4918578163171. The next prime is 4918578163207. The reversal of 4918578163200 is 23618758194.

4918578163200 is a `hidden beast` number, since 4 + 9 + 1 + 8 + 578 + 1 + 63 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×4918578163200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918578163207) 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 125 ways as a sum of consecutive naturals, for example, 1576971241 + ... + 1576974359.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4918578163200 = 9837156326400, but 3⋅4918578163200 = 14755734489600 is not.

Almost surely, 2^{4918578163200} is an apocalyptic number.

4918578163200 is a gapful number since it is divisible by the number (40) 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 4918578163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895395973320).

4918578163200 is an abundant number, since it is smaller than the sum of its proper divisors (14872213783440).

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

4918578163200 is an equidigital number, since it uses as much as digits as its factorization.

4918578163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4918578163200 in words is "four trillion, nine hundred eighteen billion, five hundred seventy-eight million, one hundred sixty-three thousand, two hundred".