10338249217296 has 960 divisors, whose sum is σ = 37867479104000. Its totient is φ = 2411485655040.

The previous prime is 10338249217291. The next prime is 10338249217313. The reversal of 10338249217296 is 69271294283301.

It is not an unprimeable number, because it can be changed into a prime (10338249217291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 958215870 + ... + 958226658.

Almost surely, 2^{10338249217296} is an apocalyptic number.

10338249217296 is a gapful number since it is divisible by the number (16) 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 10338249217296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18933739552000).

10338249217296 is an abundant number, since it is smaller than the sum of its proper divisors (27529229886704).

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

10338249217296 is a wasteful number, since it uses less digits than its factorization.

10338249217296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893 (or 10862 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 10338249217296 in words is "ten trillion, three hundred thirty-eight billion, two hundred forty-nine million, two hundred seventeen thousand, two hundred ninety-six".