10438949343648 has 576 divisors, whose sum is σ = 34993899085824. Its totient is φ = 2658629836800.

The previous prime is 10438949343643. The next prime is 10438949343661. The reversal of 10438949343648 is 84634394983401.

It is not an unprimeable number, because it can be changed into a prime (10438949343643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 515977693 + ... + 515997923.

It is an arithmetic number, because the mean of its divisors is an integer number (60753297024).

Almost surely, 2^{10438949343648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438949343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17496949542912).

10438949343648 is an abundant number, since it is smaller than the sum of its proper divisors (24554949742176).

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

10438949343648 is a wasteful number, since it uses less digits than its factorization.

10438949343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20377 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 10438949343648 in words is "ten trillion, four hundred thirty-eight billion, nine hundred forty-nine million, three hundred forty-three thousand, six hundred forty-eight".