11751273128169 has 81 divisors (see below), whose sum is σ = 17694426725157. Its totient is φ = 7515082067328.

The previous prime is 11751273128141. The next prime is 11751273128171. The reversal of 11751273128169 is 96182137215711.

It is a happy number.

The square root of 11751273128169 is 3428013.

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

11751273128169 is a `hidden beast` number, since 1 + 1 + 75 + 127 + 312 + 81 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177750776025 + 11573522352144 = 421605^2 + 3401988^2 .

It is not a de Polignac number, because 11751273128169 - 2²⁵ = 11751239573737 is a prime.

It is a super-2 number, since 2×11751273128169² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11751273121169) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33865340254 + ... + 33865340600.

Almost surely, 2^{11751273128169} is an apocalyptic number.

11751273128169 is the 3428013-rd square number.

11751273128169 is the 1714007-th centered octagonal number.

It is an amenable number.

11751273128169 is a deficient number, since it is larger than the sum of its proper divisors (5943153596988).

11751273128169 is an frugal number, since it uses more digits than its factorization.

11751273128169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 476 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 54.

The spelling of 11751273128169 in words is "eleven trillion, seven hundred fifty-one billion, two hundred seventy-three million, one hundred twenty-eight thousand, one hundred sixty-nine".