45114300 has 432 divisors, whose sum is σ = 189987840. Its totient is φ = 9072000.

The previous prime is 45114299. The next prime is 45114301. The reversal of 45114300 is 341154.

It is a happy number.

45114300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45114299) and next prime (45114301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45114301) 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 143 ways as a sum of consecutive naturals, for example, 1455285 + ... + 1455315.

Almost surely, 2^45114300 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 45114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

45114300 is an abundant number, since it is smaller than the sum of its proper divisors (144873540).

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

45114300 is a wasteful number, since it uses less digits than its factorization.

45114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45114300 is about 6716.7179485222. The cubic root of 45114300 is about 355.9902261341.

Adding to 45114300 its reverse (341154), we get a palindrome (45455454).

The spelling of 45114300 in words is "forty-five million, one hundred fourteen thousand, three hundred".