43113627648 has 1080 divisors, whose sum is σ = 171322128432. Its totient is φ = 10701766656.

The previous prime is 43113627617. The next prime is 43113627649. The reversal of 43113627648 is 84672631134.

43113627648 is a `hidden beast` number, since 4 + 3 + 1 + 13 + 627 + 6 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43113627649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2536095736 + ... + 2536095752.

Almost surely, 2^43113627648 is an apocalyptic number.

43113627648 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 43113627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85661064216).

43113627648 is an abundant number, since it is smaller than the sum of its proper divisors (128208500784).

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

43113627648 is an equidigital number, since it uses as much as digits as its factorization.

43113627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

It can be divided in two parts, 43113 and 627648, that added together give a square (670761 = 819²).

The spelling of 43113627648 in words is "forty-three billion, one hundred thirteen million, six hundred twenty-seven thousand, six hundred forty-eight".