45818513068320 has 288 divisors, whose sum is σ = 165218995468800. Its totient is φ = 11539103127552.

The previous prime is 45818513068267. The next prime is 45818513068331. The reversal of 45818513068320 is 2386031581854.

45818513068320 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 8 + 5 + 1 + 306 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45818513068320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6139275 + ... + 11372234.

It is an arithmetic number, because the mean of its divisors is an integer number (573677067600).

Almost surely, 2^{45818513068320} is an apocalyptic number.

45818513068320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45818513068320 is an abundant number, since it is smaller than the sum of its proper divisors (119400482400480).

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

45818513068320 is a wasteful number, since it uses less digits than its factorization.

45818513068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17511632 (or 17511621 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 45818513068320 in words is "forty-five trillion, eight hundred eighteen billion, five hundred thirteen million, sixty-eight thousand, three hundred twenty".