45248550720 has 336 divisors, whose sum is σ = 149436368640. Its totient is φ = 11595816960.

The previous prime is 45248550719. The next prime is 45248550731. The reversal of 45248550720 is 2705584254.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189324361 + ... + 189324599.

Almost surely, 2^45248550720 is an apocalyptic number.

45248550720 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 45248550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74718184320).

45248550720 is an abundant number, since it is smaller than the sum of its proper divisors (104187817920).

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

45248550720 is a wasteful number, since it uses less digits than its factorization.

45248550720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 45248550720 in words is "forty-five billion, two hundred forty-eight million, five hundred fifty thousand, seven hundred twenty".