10832298048 has 448 divisors, whose sum is σ = 38097561600. Its totient is φ = 2974648320.

The previous prime is 10832298041. The next prime is 10832298049. The reversal of 10832298048 is 84089223801.

It is a super-2 number, since 2×10832298048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10832297994 and 10832298012.

It is not an unprimeable number, because it can be changed into a prime (10832298041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14578765 + ... + 14579507.

It is an arithmetic number, because the mean of its divisors is an integer number (85039200).

Almost surely, 2^10832298048 is an apocalyptic number.

10832298048 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 10832298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048780800).

10832298048 is an abundant number, since it is smaller than the sum of its proper divisors (27265263552).

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

10832298048 is a wasteful number, since it uses less digits than its factorization.

10832298048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 10832298048 in words is "ten billion, eight hundred thirty-two million, two hundred ninety-eight thousand, forty-eight".