10736393248 has 192 divisors, whose sum is σ = 26257996800. Its totient is φ = 4217241600.

The previous prime is 10736393243. The next prime is 10736393257. The reversal of 10736393248 is 84239363701.

10736393248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10736393198 and 10736393207.

It is not an unprimeable number, because it can be changed into a prime (10736393243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26773848 + ... + 26774248.

It is an arithmetic number, because the mean of its divisors is an integer number (136760400).

Almost surely, 2^10736393248 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 10736393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128998400).

10736393248 is an abundant number, since it is smaller than the sum of its proper divisors (15521603552).

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

10736393248 is a wasteful number, since it uses less digits than its factorization.

10736393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 10736393248 in words is "ten billion, seven hundred thirty-six million, three hundred ninety-three thousand, two hundred forty-eight".