14942036133049 has 27 divisors (see below), whose sum is σ = 15840781634223. Its totient is φ = 14092226824464.

The previous prime is 14942036133047. The next prime is 14942036133053. The reversal of 14942036133049 is 94033163024941.

The square root of 14942036133049 is 3865493.

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., 3527233316649 + 11414802816400 = 1878093^2 + 3378580^2 .

It is not a de Polignac number, because 14942036133049 - 2¹ = 14942036133047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14942036132993 and 14942036133011.

It is not an unprimeable number, because it can be changed into a prime (14942036133047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28569858502 + ... + 28569859024.

Almost surely, 2^{14942036133049} is an apocalyptic number.

14942036133049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14942036133049 is the 3865493-rd square number.

14942036133049 is the 1932747-th centered octagonal number.

It is an amenable number.

14942036133049 is a deficient number, since it is larger than the sum of its proper divisors (898745501174).

14942036133049 is an frugal number, since it uses more digits than its factorization.

14942036133049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 14942036133049 by its sum of digits (49), we get a square (732159770519401 = 27058451²).

The spelling of 14942036133049 in words is "fourteen trillion, nine hundred forty-two billion, thirty-six million, one hundred thirty-three thousand, forty-nine".