10938356457424 has 150 divisors (see below), whose sum is σ = 24088988846850. Its totient is φ = 4811494723200.

The previous prime is 10938356457409. The next prime is 10938356457437. The reversal of 10938356457424 is 42475465383901.

It can be written as a sum of positive squares in only one way, i.e., 9927792705600 + 1010563751824 = 3150840^2 + 1005268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 225095722 + ... + 225144310.

It is an arithmetic number, because the mean of its divisors is an integer number (160593258979).

It is a 1-persistent number, because it is pandigital, but 2⋅10938356457424 = 21876712914848 is not.

Almost surely, 2^{10938356457424} 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 10938356457424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044494423425).

10938356457424 is an abundant number, since it is smaller than the sum of its proper divisors (13150632389426).

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

10938356457424 is an frugal number, since it uses more digits than its factorization.

10938356457424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48703 (or 48633 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 10938356457424 in words is "ten trillion, nine hundred thirty-eight billion, three hundred fifty-six million, four hundred fifty-seven thousand, four hundred twenty-four".