10832298336 has 144 divisors (see below), whose sum is σ = 31109158080. Its totient is φ = 3575255040.

The previous prime is 10832298319. The next prime is 10832298401. The reversal of 10832298336 is 63389223801.

10832298336 is a `hidden beast` number, since 10 + 83 + 229 + 8 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 10832298291 and 10832298300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16588186 + ... + 16588838.

It is an arithmetic number, because the mean of its divisors is an integer number (216035820).

Almost surely, 2^10832298336 is an apocalyptic number.

10832298336 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 10832298336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554579040).

10832298336 is an abundant number, since it is smaller than the sum of its proper divisors (20276859744).

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

10832298336 is a wasteful number, since it uses less digits than its factorization.

10832298336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10832298336 in words is "ten billion, eight hundred thirty-two million, two hundred ninety-eight thousand, three hundred thirty-six".