10338468048 has 280 divisors, whose sum is σ = 31080198240. Its totient is φ = 3328439040.

The previous prime is 10338468047. The next prime is 10338468073. The reversal of 10338468048 is 84086483301.

It is a junction number, because it is equal to n+sod(n) for n = 10338467994 and 10338468012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338468047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57118518 + ... + 57118698.

It is an arithmetic number, because the mean of its divisors is an integer number (111000708).

Almost surely, 2^10338468048 is an apocalyptic number.

10338468048 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 10338468048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540099120).

10338468048 is an abundant number, since it is smaller than the sum of its proper divisors (20741730192).

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

10338468048 is an equidigital number, since it uses as much as digits as its factorization.

10338468048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10338468048 in words is "ten billion, three hundred thirty-eight million, four hundred sixty-eight thousand, forty-eight".