1129456692081 has 9 divisors (see below), whose sum is σ = 1631442049419. Its totient is φ = 752969002536.

The previous prime is 1129456692061. The next prime is 1129456692101. The reversal of 1129456692081 is 1802966549211.

The square root of 1129456692081 is 1062759.

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

1129456692081 is a `hidden beast` number, since 1 + 1 + 29 + 456 + 6 + 92 + 0 + 81 = 666.

It is an interprime number because it is at equal distance from previous prime (1129456692061) and next prime (1129456692101).

It can be written as a sum of positive squares in only one way, i.e., 7797773025 + 1121658919056 = 88305^2 + 1059084^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1129456692081 - 2⁹ = 1129456691569 is a prime.

It is a super-2 number, since 2×1129456692081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1129456692061) 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 8 ways as a sum of consecutive naturals, for example, 3011151 + ... + 3365403.

Almost surely, 2^{1129456692081} is an apocalyptic number.

1129456692081 is the 1062759-th square number.

1129456692081 is the 531380-th centered octagonal number.

It is an amenable number.

1129456692081 is a deficient number, since it is larger than the sum of its proper divisors (501985357338).

1129456692081 is an frugal number, since it uses more digits than its factorization.

1129456692081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708512 (or 354256 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1129456692081 in words is "one trillion, one hundred twenty-nine billion, four hundred fifty-six million, six hundred ninety-two thousand, eighty-one".