45120114 has 96 divisors (see below), whose sum is σ = 111711600. Its totient is φ = 13063680.

The previous prime is 45120113. The next prime is 45120149. The reversal of 45120114 is 41102154.

45120114 is a `hidden beast` number, since 451 + 201 + 14 = 666.

45120114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6890625 + 38229489 = 2625^2 + 6183^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413892 + ... + 414000.

Almost surely, 2^45120114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45120114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

45120114 is an abundant number, since it is smaller than the sum of its proper divisors (66591486).

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

45120114 is a wasteful number, since it uses less digits than its factorization.

45120114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45120114 is about 6717.1507352448. The cubic root of 45120114 is about 356.0055179467.

Adding to 45120114 its reverse (41102154), we get a palindrome (86222268).

The spelling of 45120114 in words is "forty-five million, one hundred twenty thousand, one hundred fourteen".