45050218444800 has 864 divisors, whose sum is σ = 165989890029600. Its totient is φ = 11671637852160.

The previous prime is 45050218444793. The next prime is 45050218444817. The reversal of 45050218444800 is 844481205054.

45050218444800 is a `hidden beast` number, since 4 + 50 + 502 + 18 + 4 + 4 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2515498246 + ... + 2515516154.

It is an arithmetic number, because the mean of its divisors is an integer number (192117928275).

Almost surely, 2^{45050218444800} is an apocalyptic number.

45050218444800 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 45050218444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82994945014800).

45050218444800 is an abundant number, since it is smaller than the sum of its proper divisors (120939671584800).

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

45050218444800 is a wasteful number, since it uses less digits than its factorization.

45050218444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18075 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

Adding to 45050218444800 its reverse (844481205054), we get a palindrome (45894699649854).

The spelling of 45050218444800 in words is "forty-five trillion, fifty billion, two hundred eighteen million, four hundred forty-four thousand, eight hundred".