45305413000 has 64 divisors (see below), whose sum is σ = 106627875120. Its totient is φ = 18017344000.

The previous prime is 45305412973. The next prime is 45305413007. The reversal of 45305413000 is 31450354.

It can be written as a sum of positive squares in 8 ways, for example, as 14358270276 + 30947142724 = 119826^2 + 175918^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45305413007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42060 + ... + 303940.

Almost surely, 2^45305413000 is an apocalyptic number.

45305413000 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 45305413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53313937560).

45305413000 is an abundant number, since it is smaller than the sum of its proper divisors (61322462120).

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

45305413000 is a wasteful number, since it uses less digits than its factorization.

45305413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262075 (or 262061 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 45305413000 its reverse (31450354), we get a palindrome (45336863354).

The spelling of 45305413000 in words is "forty-five billion, three hundred five million, four hundred thirteen thousand".