45247513213440 has 1120 divisors, whose sum is σ = 172993081122576. Its totient is φ = 11305652060160.

The previous prime is 45247513213421. The next prime is 45247513213471. The reversal of 45247513213440 is 4431231574254.

45247513213440 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 75 + 132 + 1 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9763475118336 + 35484038095104 = 3124656^2 + 5956848^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 7392173580 + ... + 7392179700.

Almost surely, 2^{45247513213440} is an apocalyptic number.

45247513213440 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 45247513213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86496540561288).

45247513213440 is an abundant number, since it is smaller than the sum of its proper divisors (127745567909136).

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

45247513213440 is an equidigital number, since it uses as much as digits as its factorization.

45247513213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 45247513213440 its reverse (4431231574254), we get a palindrome (49678744787694).

The spelling of 45247513213440 in words is "forty-five trillion, two hundred forty-seven billion, five hundred thirteen million, two hundred thirteen thousand, four hundred forty".