10438702848 has 720 divisors, whose sum is σ = 39160668960. Its totient is φ = 2731180032.

The previous prime is 10438702843. The next prime is 10438702861. The reversal of 10438702848 is 84820783401.

It is a super-2 number, since 2×10438702848² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438702843) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282127086 + ... + 282127122.

It is an arithmetic number, because the mean of its divisors is an integer number (54389818).

Almost surely, 2^10438702848 is an apocalyptic number.

10438702848 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 10438702848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580334480).

10438702848 is an abundant number, since it is smaller than the sum of its proper divisors (28721966112).

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

10438702848 is an frugal number, since it uses more digits than its factorization.

10438702848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10438702848 in words is "ten billion, four hundred thirty-eight million, seven hundred two thousand, eight hundred forty-eight".