45185180707920 has 240 divisors, whose sum is σ = 162069162534720. Its totient is φ = 10377457643520.

The previous prime is 45185180707903. The next prime is 45185180707921. The reversal of 45185180707920 is 2970708158154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45185180707921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40394649 + ... + 41498168.

It is an arithmetic number, because the mean of its divisors is an integer number (675288177228).

Almost surely, 2^{45185180707920} is an apocalyptic number.

45185180707920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45185180707920 is an abundant number, since it is smaller than the sum of its proper divisors (116883981826800).

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

45185180707920 is a wasteful number, since it uses less digits than its factorization.

45185180707920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81892874 (or 81892857 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 57.

The spelling of 45185180707920 in words is "forty-five trillion, one hundred eighty-five billion, one hundred eighty million, seven hundred seven thousand, nine hundred twenty".