13943114466304 has 33 divisors (see below), whose sum is σ = 27872851474317. Its totient is φ = 6971497488384.

The previous prime is 13943114466299. The next prime is 13943114466353. The reversal of 13943114466304 is 40366441134931.

The square root of 13943114466304 is 3734048.

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

It can be written as a sum of positive squares in only one way, i.e., 13427475579904 + 515638886400 = 3664352^2 + 718080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 119431192 + ... + 119547880.

Almost surely, 2^{13943114466304} is an apocalyptic number.

13943114466304 is the 3734048-th square number.

It is an amenable number.

13943114466304 is a deficient number, since it is larger than the sum of its proper divisors (13929737008013).

13943114466304 is an frugal number, since it uses more digits than its factorization.

13943114466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233398 (or 116691 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 13943114466304 by its sum of digits (49), we get a square (683212608848896 = 26138336²).

The spelling of 13943114466304 in words is "thirteen trillion, nine hundred forty-three billion, one hundred fourteen million, four hundred sixty-six thousand, three hundred four".