14867101100944 has 45 divisors (see below), whose sum is σ = 28919822543121. Its totient is φ = 7404038349120.

The previous prime is 14867101100939. The next prime is 14867101101049. The reversal of 14867101100944 is 44900110176841.

The square root of 14867101100944 is 3855788.

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., 1821366176400 + 13045734924544 = 1349580^2 + 3611888^2 .

It is a super-2 number, since 2×14867101100944² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14867101100894 and 14867101100903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4179672414 + ... + 4179675970.

Almost surely, 2^{14867101100944} is an apocalyptic number.

14867101100944 is the 3855788-th square number.

It is an amenable number.

14867101100944 is a deficient number, since it is larger than the sum of its proper divisors (14052721442177).

14867101100944 is an frugal number, since it uses more digits than its factorization.

14867101100944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 14867101100944 in words is "fourteen trillion, eight hundred sixty-seven billion, one hundred one million, one hundred thousand, nine hundred forty-four".