45381383145984 has 160 divisors (see below), whose sum is σ = 125078052528000. Its totient is φ = 14604301451264.

The previous prime is 45381383145979. The next prime is 45381383146009. The reversal of 45381383145984 is 48954138318354.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657390382 + ... + 657459410.

It is an arithmetic number, because the mean of its divisors is an integer number (781737828300).

Almost surely, 2^{45381383145984} 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 45381383145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539026264000).

45381383145984 is an abundant number, since it is smaller than the sum of its proper divisors (79696669382016).

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

45381383145984 is a wasteful number, since it uses less digits than its factorization.

45381383145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83838 (or 83822 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 66.

The spelling of 45381383145984 in words is "forty-five trillion, three hundred eighty-one billion, three hundred eighty-three million, one hundred forty-five thousand, nine hundred eighty-four".