11729045033712 has 120 divisors (see below), whose sum is σ = 32937472648080. Its totient is φ = 3896293985280.

The previous prime is 11729045033701. The next prime is 11729045033729. The reversal of 11729045033712 is 21733054092711.

11729045033712 is a `hidden beast` number, since 1 + 1 + 72 + 9 + 0 + 4 + 503 + 3 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314256012 + ... + 314293332.

It is an arithmetic number, because the mean of its divisors is an integer number (274478938734).

Almost surely, 2^{11729045033712} is an apocalyptic number.

11729045033712 is a gapful number since it is divisible by the number (12) 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 11729045033712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468736324040).

11729045033712 is an abundant number, since it is smaller than the sum of its proper divisors (21208427614368).

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

11729045033712 is a wasteful number, since it uses less digits than its factorization.

11729045033712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44751 (or 44742 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11729045033712 in words is "eleven trillion, seven hundred twenty-nine billion, forty-five million, thirty-three thousand, seven hundred twelve".