10849732608 has 384 divisors, whose sum is σ = 34772250240. Its totient is φ = 2964848640.

The previous prime is 10849732601. The next prime is 10849732613. The reversal of 10849732608 is 80623794801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10849732601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46565260 + ... + 46565492.

It is an arithmetic number, because the mean of its divisors is an integer number (90552735).

Almost surely, 2^10849732608 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 10849732608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386125120).

10849732608 is an abundant number, since it is smaller than the sum of its proper divisors (23922517632).

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

10849732608 is a wasteful number, since it uses less digits than its factorization.

10849732608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10849732608 in words is "ten billion, eight hundred forty-nine million, seven hundred thirty-two thousand, six hundred eight".