45318506116800 has 336 divisors, whose sum is σ = 173538202844160. Its totient is φ = 10138121379840.

The previous prime is 45318506116679. The next prime is 45318506116823. The reversal of 45318506116800 is 861160581354.

45318506116800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45318506116800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12769365 + ... + 15927764.

It is an arithmetic number, because the mean of its divisors is an integer number (516482746560).

Almost surely, 2^{45318506116800} is an apocalyptic number.

45318506116800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45318506116800 is an abundant number, since it is smaller than the sum of its proper divisors (128219696727360).

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

45318506116800 is a wasteful number, since it uses less digits than its factorization.

45318506116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28697208 (or 28697193 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 45318506116800 in words is "forty-five trillion, three hundred eighteen billion, five hundred six million, one hundred sixteen thousand, eight hundred".