45000411456 has 1008 divisors, whose sum is σ = 170922866688. Its totient is φ = 10315468800.

The previous prime is 45000411427. The next prime is 45000411457. The reversal of 45000411456 is 65411400054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45000411457) 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 143 ways as a sum of consecutive naturals, for example, 542173591 + ... + 542173673.

It is an arithmetic number, because the mean of its divisors is an integer number (169566336).

Almost surely, 2^45000411456 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 45000411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85461433344).

45000411456 is an abundant number, since it is smaller than the sum of its proper divisors (125922455232).

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

45000411456 is a wasteful number, since it uses less digits than its factorization.

45000411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 45000411456 in words is "forty-five billion, four hundred eleven thousand, four hundred fifty-six".