11728344704832 has 1008 divisors, whose sum is σ = 43346021479488. Its totient is φ = 3123996180480.

The previous prime is 11728344704821. The next prime is 11728344704851. The reversal of 11728344704832 is 23840744382711.

It is a happy number.

11728344704832 is a `hidden beast` number, since 1 + 1 + 72 + 8 + 34 + 470 + 48 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1386161082 + ... + 1386169542.

It is an arithmetic number, because the mean of its divisors is an integer number (43002005436).

Almost surely, 2^{11728344704832} is an apocalyptic number.

11728344704832 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 11728344704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673010739744).

11728344704832 is an abundant number, since it is smaller than the sum of its proper divisors (31617676774656).

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

11728344704832 is a wasteful number, since it uses less digits than its factorization.

11728344704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 11728344704832 in words is "eleven trillion, seven hundred twenty-eight billion, three hundred forty-four million, seven hundred four thousand, eight hundred thirty-two".