45447043200 has 768 divisors, whose sum is σ = 171349032960. Its totient is φ = 10502553600.

The previous prime is 45447043139. The next prime is 45447043219. The reversal of 45447043200 is 234074454.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203798289 + ... + 203798511.

It is an arithmetic number, because the mean of its divisors is an integer number (223110720).

Almost surely, 2^45447043200 is an apocalyptic number.

45447043200 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 45447043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85674516480).

45447043200 is an abundant number, since it is smaller than the sum of its proper divisors (125901989760).

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

45447043200 is a wasteful number, since it uses less digits than its factorization.

45447043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The spelling of 45447043200 in words is "forty-five billion, four hundred forty-seven million, forty-three thousand, two hundred".