107849000448 has 640 divisors, whose sum is σ = 389186519040. Its totient is φ = 28819169280.

The previous prime is 107849000443. The next prime is 107849000491. The reversal of 107849000448 is 844000948701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107849000443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104605693 + ... + 104606723.

It is an arithmetic number, because the mean of its divisors is an integer number (608103936).

Almost surely, 2^107849000448 is an apocalyptic number.

107849000448 is a gapful number since it is divisible by the number (18) 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 107849000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194593259520).

107849000448 is an abundant number, since it is smaller than the sum of its proper divisors (281337518592).

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

107849000448 is a wasteful number, since it uses less digits than its factorization.

107849000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 107849000448 in words is "one hundred seven billion, eight hundred forty-nine million, four hundred forty-eight", and thus it is an aban number.