11712349376 has 112 divisors (see below), whose sum is σ = 30288073536. Its totient is φ = 4360863744.

The previous prime is 11712349339. The next prime is 11712349387. The reversal of 11712349376 is 67394321711.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 39860 + ... + 158156.

It is an arithmetic number, because the mean of its divisors is an integer number (270429228).

Almost surely, 2^11712349376 is an apocalyptic number.

11712349376 is a gapful number since it is divisible by the number (16) 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 11712349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144036768).

11712349376 is an abundant number, since it is smaller than the sum of its proper divisors (18575724160).

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

11712349376 is a wasteful number, since it uses less digits than its factorization.

11712349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118346 (or 118336 counting only the distinct ones).

The product of its digits is 190512, while the sum is 44.

The spelling of 11712349376 in words is "eleven billion, seven hundred twelve million, three hundred forty-nine thousand, three hundred seventy-six".