14968758626704 has 45 divisors (see below), whose sum is σ = 30037423456963. Its totient is φ = 7226080606976.

The previous prime is 14968758626681. The next prime is 14968758626711. The reversal of 14968758626704 is 40762685786941.

The square root of 14968758626704 is 3868948.

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

14968758626704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2740812691600 + 12227945935104 = 1655540^2 + 3496848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 448781292 + ... + 448814644.

Almost surely, 2^{14968758626704} is an apocalyptic number.

14968758626704 is the 3868948-th square number.

It is an amenable number.

14968758626704 is an abundant number, since it is smaller than the sum of its proper divisors (15068664830259).

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

14968758626704 is an frugal number, since it uses more digits than its factorization.

14968758626704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66772 (or 33384 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 73.

The spelling of 14968758626704 in words is "fourteen trillion, nine hundred sixty-eight billion, seven hundred fifty-eight million, six hundred twenty-six thousand, seven hundred four".