45132017112 has 384 divisors, whose sum is σ = 159790700160. Its totient is φ = 11167580160.

The previous prime is 45132017111. The next prime is 45132017143. The reversal of 45132017112 is 21171023154.

45132017112 is a `hidden beast` number, since 4 + 513 + 20 + 17 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45132017111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 68278062 + ... + 68278722.

It is an arithmetic number, because the mean of its divisors is an integer number (416121615).

Almost surely, 2^45132017112 is an apocalyptic number.

45132017112 is a gapful number since it is divisible by the number (42) 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 45132017112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79895350080).

45132017112 is an abundant number, since it is smaller than the sum of its proper divisors (114658683048).

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

45132017112 is a wasteful number, since it uses less digits than its factorization.

45132017112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 45132017112 in words is "forty-five billion, one hundred thirty-two million, seventeen thousand, one hundred twelve".