45359708262360 has 1024 divisors, whose sum is σ = 161909607628800. Its totient is φ = 10086587596800.

The previous prime is 45359708262347. The next prime is 45359708262361. The reversal of 45359708262360 is 6326280795354.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45359708262294 and 45359708262303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45359708262361) 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 255 ways as a sum of consecutive naturals, for example, 4266734245 + ... + 4266744875.

It is an arithmetic number, because the mean of its divisors is an integer number (158114851200).

Almost surely, 2^{45359708262360} is an apocalyptic number.

45359708262360 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 45359708262360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954803814400).

45359708262360 is an abundant number, since it is smaller than the sum of its proper divisors (116549899366440).

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

45359708262360 is a wasteful number, since it uses less digits than its factorization.

45359708262360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10832 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 45359708262360 in words is "forty-five trillion, three hundred fifty-nine billion, seven hundred eight million, two hundred sixty-two thousand, three hundred sixty".