45182394005832 has 512 divisors, whose sum is σ = 138680449920000. Its totient is φ = 13613377978368.

The previous prime is 45182394005779. The next prime is 45182394005851. The reversal of 45182394005832 is 23850049328154.

45182394005832 is a `hidden beast` number, since 4 + 5 + 18 + 2 + 3 + 9 + 40 + 0 + 583 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5939577373 + ... + 5939584979.

It is an arithmetic number, because the mean of its divisors is an integer number (270860253750).

Almost surely, 2^{45182394005832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45182394005832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69340224960000).

45182394005832 is an abundant number, since it is smaller than the sum of its proper divisors (93498055914168).

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

45182394005832 is a wasteful number, since it uses less digits than its factorization.

45182394005832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45182394005832 in words is "forty-five trillion, one hundred eighty-two billion, three hundred ninety-four million, five thousand, eight hundred thirty-two".