45100482560000 has 360 divisors, whose sum is σ = 128818433343600. Its totient is φ = 15462825984000.

The previous prime is 45100482559981. The next prime is 45100482560129. The reversal of 45100482560000 is 6528400154.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 573400676 + ... + 573479324.

It is an arithmetic number, because the mean of its divisors is an integer number (357828981510).

Almost surely, 2^{45100482560000} is an apocalyptic number.

45100482560000 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 45100482560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64409216671800).

45100482560000 is an abundant number, since it is smaller than the sum of its proper divisors (83717950783600).

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

45100482560000 is an frugal number, since it uses more digits than its factorization.

45100482560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78710 (or 78663 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 45100482560000 in words is "forty-five trillion, one hundred billion, four hundred eighty-two million, five hundred sixty thousand".