45338268856320 has 1248 divisors, whose sum is σ = 178520633823168. Its totient is φ = 10546053120000.

The previous prime is 45338268856297. The next prime is 45338268856339. The reversal of 45338268856320 is 2365886283354.

It is a happy number.

45338268856320 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 8 + 2 + 68 + 8 + 563 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5070823050 + ... + 5070831990.

It is an arithmetic number, because the mean of its divisors is an integer number (143045379666).

Almost surely, 2^{45338268856320} is an apocalyptic number.

45338268856320 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 45338268856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89260316911584).

45338268856320 is an abundant number, since it is smaller than the sum of its proper divisors (133182364966848).

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

45338268856320 is a wasteful number, since it uses less digits than its factorization.

45338268856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 45338268856320 in words is "forty-five trillion, three hundred thirty-eight billion, two hundred sixty-eight million, eight hundred fifty-six thousand, three hundred twenty".