45050205132540 has 768 divisors, whose sum is σ = 159123565117440. Its totient is φ = 10519696281600.

The previous prime is 45050205132511. The next prime is 45050205132577. The reversal of 45050205132540 is 4523150205054.

45050205132540 is a `hidden beast` number, since 4 + 50 + 50 + 2 + 0 + 5 + 13 + 2 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45050205132495 and 45050205132504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1617529615 + ... + 1617557465.

It is an arithmetic number, because the mean of its divisors is an integer number (207192142080).

Almost surely, 2^{45050205132540} 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 45050205132540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79561782558720).

45050205132540 is an abundant number, since it is smaller than the sum of its proper divisors (114073359984900).

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

45050205132540 is a wasteful number, since it uses less digits than its factorization.

45050205132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28119 (or 28111 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 45050205132540 its reverse (4523150205054), we get a palindrome (49573355337594).

The spelling of 45050205132540 in words is "forty-five trillion, fifty billion, two hundred five million, one hundred thirty-two thousand, five hundred forty".