45247838720 has 240 divisors, whose sum is σ = 129625353000. Its totient is φ = 15092711424.

The previous prime is 45247838633. The next prime is 45247838723. The reversal of 45247838720 is 2783874254.

It can be written as a sum of positive squares in 4 ways, for example, as 37239736576 + 8008102144 = 192976^2 + 89488^2 .

It is a super-2 number, since 2×45247838720² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45247838723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4636406 + ... + 4646154.

Almost surely, 2^45247838720 is an apocalyptic number.

45247838720 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 45247838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64812676500).

45247838720 is an abundant number, since it is smaller than the sum of its proper divisors (84377514280).

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

45247838720 is an equidigital number, since it uses as much as digits as its factorization.

45247838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 50.

The spelling of 45247838720 in words is "forty-five billion, two hundred forty-seven million, eight hundred thirty-eight thousand, seven hundred twenty".