14782633142761 has 9 divisors (see below), whose sum is σ = 16248725892343. Its totient is φ = 13438718954320.

The previous prime is 14782633142707. The next prime is 14782633142777. The reversal of 14782633142761 is 16724133628741.

The square root of 14782633142761 is 3844819.

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., 1252006582761 + 13530626560000 = 1118931^2 + 3678400^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14782633142761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14782633142861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42118245 + ... + 42467773.

Almost surely, 2^{14782633142761} is an apocalyptic number.

14782633142761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14782633142761 is the 3844819-th square number.

14782633142761 is the 1922410-th centered octagonal number.

It is an amenable number.

14782633142761 is a deficient number, since it is larger than the sum of its proper divisors (1466092749582).

14782633142761 is an frugal number, since it uses more digits than its factorization.

14782633142761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699080 (or 349540 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 55.

The spelling of 14782633142761 in words is "fourteen trillion, seven hundred eighty-two billion, six hundred thirty-three million, one hundred forty-two thousand, seven hundred sixty-one".