45102224553200 has 120 divisors (see below), whose sum is σ = 108952573080096. Its totient is φ = 17942159872000.

The previous prime is 45102224553173. The next prime is 45102224553203. The reversal of 45102224553200 is 235542220154.

It is a happy number.

It is a super-3 number, since 3×45102224553200³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45102224553203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58175309 + ... + 58945491.

Almost surely, 2^{45102224553200} is an apocalyptic number.

45102224553200 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 45102224553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54476286540048).

45102224553200 is an abundant number, since it is smaller than the sum of its proper divisors (63850348526896).

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

45102224553200 is a wasteful number, since it uses less digits than its factorization.

45102224553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771003 (or 770992 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 45102224553200 its reverse (235542220154), we get a palindrome (45337766773354).

The spelling of 45102224553200 in words is "forty-five trillion, one hundred two billion, two hundred twenty-four million, five hundred fifty-three thousand, two hundred".