45841024360000 has 315 divisors, whose sum is σ = 115184827290159. Its totient is φ = 18095376384000.

The previous prime is 45841024359983. The next prime is 45841024360081. The reversal of 45841024360000 is 6342014854.

The square root of 45841024360000 is 6770600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 45459634125376 + 381390234624 = 6742376^2 + 617568^2 .

It is a super-2 number, since 2×45841024360000² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 131349639826 + ... + 131349640174.

Almost surely, 2^{45841024360000} is an apocalyptic number.

45841024360000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45841024360000 is the 6770600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45841024360000

45841024360000 is an abundant number, since it is smaller than the sum of its proper divisors (69343802930159).

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

45841024360000 is an frugal number, since it uses more digits than its factorization.

45841024360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 45841024360000 its reverse (6342014854), we get a palindrome (45847366374854).

The spelling of 45841024360000 in words is "forty-five trillion, eight hundred forty-one billion, twenty-four million, three hundred sixty thousand".