43745730048 has 320 divisors, whose sum is σ = 133429317120. Its totient is φ = 14145601536.

The previous prime is 43745730031. The next prime is 43745730071. The reversal of 43745730048 is 84003754734.

43745730048 is a `hidden beast` number, since 4 + 3 + 74 + 573 + 0 + 0 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 43745729985 and 43745730012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67612861 + ... + 67613507.

It is an arithmetic number, because the mean of its divisors is an integer number (416966616).

Almost surely, 2^43745730048 is an apocalyptic number.

43745730048 is a gapful number since it is divisible by the number (48) 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 43745730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714658560).

43745730048 is an abundant number, since it is smaller than the sum of its proper divisors (89683587072).

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

43745730048 is an equidigital number, since it uses as much as digits as its factorization.

43745730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 43745730048 in words is "forty-three billion, seven hundred forty-five million, seven hundred thirty thousand, forty-eight".