43104360093696 has 384 divisors, whose sum is σ = 139548935635200. Its totient is φ = 13037947453440.

The previous prime is 43104360093679. The next prime is 43104360093701. The reversal of 43104360093696 is 69639006340134.

43104360093696 is a `hidden beast` number, since 4 + 3 + 104 + 360 + 0 + 93 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332651256 + ... + 332780808.

It is an arithmetic number, because the mean of its divisors is an integer number (363408686550).

Almost surely, 2^{43104360093696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43104360093696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69774467817600).

43104360093696 is an abundant number, since it is smaller than the sum of its proper divisors (96444575541504).

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

43104360093696 is a wasteful number, since it uses less digits than its factorization.

43104360093696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130142 (or 130116 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 43104360093696 in words is "forty-three trillion, one hundred four billion, three hundred sixty million, ninety-three thousand, six hundred ninety-six".