4344123073536 has 165 divisors, whose sum is σ = 12974193555609. Its totient is φ = 1447840935936.

The previous prime is 4344123073517. The next prime is 4344123073561. The reversal of 4344123073536 is 6353703214434.

The square root of 4344123073536 is 2084256.

It is a perfect power (a square), and thus also a powerful number.

4344123073536 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 12 + 30 + 73 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2872618214400 + 1471504859136 = 1694880^2 + 1213056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4344123073491 and 4344123073500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 600262110 + ... + 600269346.

Almost surely, 2^{4344123073536} is an apocalyptic number.

4344123073536 is the 2084256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4344123073536

4344123073536 is an abundant number, since it is smaller than the sum of its proper divisors (8630070482073).

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

4344123073536 is an frugal number, since it uses more digits than its factorization.

4344123073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 4344123073536 in words is "four trillion, three hundred forty-four billion, one hundred twenty-three million, seventy-three thousand, five hundred thirty-six".