43623078464768 has 288 divisors, whose sum is σ = 105078252222720. Its totient is φ = 17840291840000.

The previous prime is 43623078464759. The next prime is 43623078464773. The reversal of 43623078464768 is 86746487032634.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 43623078464698 and 43623078464707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140061533 + ... + 140372643.

It is an arithmetic number, because the mean of its divisors is an integer number (364855042440).

Almost surely, 2^{43623078464768} 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 43623078464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52539126111360).

43623078464768 is an abundant number, since it is smaller than the sum of its proper divisors (61455173757952).

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

43623078464768 is a wasteful number, since it uses less digits than its factorization.

43623078464768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311285 (or 311271 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 68.

The spelling of 43623078464768 in words is "forty-three trillion, six hundred twenty-three billion, seventy-eight million, four hundred sixty-four thousand, seven hundred sixty-eight".