45182334336480 has 384 divisors, whose sum is σ = 174189283107840. Its totient is φ = 10846949345280.

The previous prime is 45182334336463. The next prime is 45182334336511. The reversal of 45182334336480 is 8463343328154.

45182334336480 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 233 + 43 + 364 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278994 + ... + 9510126.

It is an arithmetic number, because the mean of its divisors is an integer number (453617924760).

Almost surely, 2^{45182334336480} is an apocalyptic number.

45182334336480 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 45182334336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87094641553920).

45182334336480 is an abundant number, since it is smaller than the sum of its proper divisors (129006948771360).

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

45182334336480 is a wasteful number, since it uses less digits than its factorization.

45182334336480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231271 (or 9231257 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 45182334336480 in words is "forty-five trillion, one hundred eighty-two billion, three hundred thirty-four million, three hundred thirty-six thousand, four hundred eighty".