13754832961 has 3 divisors (see below), whose sum is σ = 13754950243. Its totient is φ = 13754715680.

The previous prime is 13754832941. The next prime is 13754832967. The reversal of 13754832961 is 16923845731.

The square root of 13754832961 is 117281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 12977538561 + 777294400 = 113919^2 + 27880^2 .

It is not a de Polignac number, because 13754832961 - 2¹⁷ = 13754701889 is a prime.

It is a super-3 number, since 3×13754832961³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13754832967) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 58641 + ... + 175921.

Almost surely, 2^13754832961 is an apocalyptic number.

13754832961 is the 117281-st square number.

13754832961 is the 58641-st centered octagonal number.

It is an amenable number.

13754832961 is a deficient number, since it is larger than the sum of its proper divisors (117282).

13754832961 is an frugal number, since it uses more digits than its factorization.

13754832961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234562 (or 117281 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

Multiplying 13754832961 by its sum of digits (49), we get a square (673986815089 = 820967²).

The spelling of 13754832961 in words is "thirteen billion, seven hundred fifty-four million, eight hundred thirty-two thousand, nine hundred sixty-one".