45784984186368 has 960 divisors, whose sum is σ = 162097387246080. Its totient is φ = 12143829712896.

The previous prime is 45784984186327. The next prime is 45784984186393. The reversal of 45784984186368 is 86368148948754.

45784984186368 is a `hidden beast` number, since 4 + 5 + 7 + 8 + 498 + 4 + 1 + 8 + 63 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12245246643 + ... + 12245250381.

It is an arithmetic number, because the mean of its divisors is an integer number (168851445048).

Almost surely, 2^{45784984186368} is an apocalyptic number.

45784984186368 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 45784984186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81048693623040).

45784984186368 is an abundant number, since it is smaller than the sum of its proper divisors (116312403059712).

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

45784984186368 is a wasteful number, since it uses less digits than its factorization.

45784984186368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4068 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 81.

The spelling of 45784984186368 in words is "forty-five trillion, seven hundred eighty-four billion, nine hundred eighty-four million, one hundred eighty-six thousand, three hundred sixty-eight".