11307829344 has 96 divisors (see below), whose sum is σ = 35919023616. Its totient is φ = 3040757760.

The previous prime is 11307829331. The next prime is 11307829367. The reversal of 11307829344 is 44392870311.

11307829344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11307829296 and 11307829305.

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, 483492 + ... + 506339.

It is an arithmetic number, because the mean of its divisors is an integer number (374156496).

Almost surely, 2^11307829344 is an apocalyptic number.

11307829344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11307829344 is an abundant number, since it is smaller than the sum of its proper divisors (24611194272).

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

11307829344 is a wasteful number, since it uses less digits than its factorization.

11307829344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989868 (or 989860 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 11307829344 in words is "eleven billion, three hundred seven million, eight hundred twenty-nine thousand, three hundred forty-four".