45485123093760 has 1728 divisors, whose sum is σ = 182754399744000. Its totient is φ = 9610567335936.

The previous prime is 45485123093713. The next prime is 45485123093797. The reversal of 45485123093760 is 6739032158454.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 45485123093760.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 46271742229 + ... + 46271743211.

It is an arithmetic number, because the mean of its divisors is an integer number (105760648000).

It is a 1-persistent number, because it is pandigital, but 2⋅45485123093760 = 90970246187520 is not.

Almost surely, 2^{45485123093760} is an apocalyptic number.

45485123093760 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 45485123093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91377199872000).

45485123093760 is an abundant number, since it is smaller than the sum of its proper divisors (137269276650240).

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

45485123093760 is an equidigital number, since it uses as much as digits as its factorization.

45485123093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 45485123093760 in words is "forty-five trillion, four hundred eighty-five billion, one hundred twenty-three million, ninety-three thousand, seven hundred sixty".