10749148144 has 80 divisors (see below), whose sum is σ = 25272096768. Its totient is φ = 4323695616.

The previous prime is 10749148133. The next prime is 10749148159. The reversal of 10749148144 is 44184194701.

10749148144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10749148144.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 691077 + ... + 706459.

Almost surely, 2^10749148144 is an apocalyptic number.

10749148144 is a gapful number since it is divisible by the number (14) 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 10749148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636048384).

10749148144 is an abundant number, since it is smaller than the sum of its proper divisors (14522948624).

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

10749148144 is a wasteful number, since it uses less digits than its factorization.

10749148144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15776 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 10749148144 in words is "ten billion, seven hundred forty-nine million, one hundred forty-eight thousand, one hundred forty-four".