45123930000 has 300 divisors, whose sum is σ = 164673537600. Its totient is φ = 11509344000.

The previous prime is 45123929993. The next prime is 45123930001. The reversal of 45123930000 is 3932154.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45123930001) 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 59 ways as a sum of consecutive naturals, for example, 2059101 + ... + 2080899.

It is an arithmetic number, because the mean of its divisors is an integer number (548911792).

Almost surely, 2^45123930000 is an apocalyptic number.

45123930000 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 45123930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82336768800).

45123930000 is an abundant number, since it is smaller than the sum of its proper divisors (119549607600).

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

45123930000 is a wasteful number, since it uses less digits than its factorization.

45123930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21856 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 45123930000 in words is "forty-five billion, one hundred twenty-three million, nine hundred thirty thousand".