10115449344 has 1280 divisors, whose sum is σ = 43557212160. Its totient is φ = 2229534720.

The previous prime is 10115449319. The next prime is 10115449391. The reversal of 10115449344 is 44394451101.

10115449344 is a `hidden beast` number, since 10 + 1 + 154 + 493 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10115449299 and 10115449308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235242987 + ... + 235243029.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^10115449344 is an apocalyptic number.

10115449344 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 10115449344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778606080).

10115449344 is an abundant number, since it is smaller than the sum of its proper divisors (33441762816).

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

10115449344 is a wasteful number, since it uses less digits than its factorization.

10115449344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10115449344 in words is "ten billion, one hundred fifteen million, four hundred forty-nine thousand, three hundred forty-four".