45080448000 has 704 divisors, whose sum is σ = 177231814656. Its totient is φ = 9953280000.

The previous prime is 45080447987. The next prime is 45080448053. The reversal of 45080448000 is 84408054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83327730 + ... + 83328270.

Almost surely, 2^45080448000 is an apocalyptic number.

45080448000 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 45080448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88615907328).

45080448000 is an abundant number, since it is smaller than the sum of its proper divisors (132151366656).

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

45080448000 is a wasteful number, since it uses less digits than its factorization.

45080448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 45080448000 in words is "forty-five billion, eighty million, four hundred forty-eight thousand".