45317301120 has 1536 divisors, whose sum is σ = 210978432000. Its totient is φ = 9094643712.

The previous prime is 45317301083. The next prime is 45317301121. The reversal of 45317301120 is 2110371354.

45317301120 is a `hidden beast` number, since 4 + 531 + 7 + 3 + 0 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45317301121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 253169191 + ... + 253169369.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 2^45317301120 is an apocalyptic number.

45317301120 is a gapful number since it is divisible by the number (40) 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 45317301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105489216000).

45317301120 is an abundant number, since it is smaller than the sum of its proper divisors (165661130880).

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

45317301120 is a wasteful number, since it uses less digits than its factorization.

45317301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 45317301120 its reverse (2110371354), we get a palindrome (47427672474).

The spelling of 45317301120 in words is "forty-five billion, three hundred seventeen million, three hundred one thousand, one hundred twenty".