1127146329 has 45 divisors (see below), whose sum is σ = 1775774949. Its totient is φ = 688917960.

The previous prime is 1127146327. The next prime is 1127146343. The reversal of 1127146329 is 9236417211.

The square root of 1127146329 is 33573.

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

1127146329 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 14 + 632 + 9 = 666.

1127146329 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1127146329 - 2¹ = 1127146327 is a prime.

Its product of digits (18144) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1127146293 and 1127146302.

It is not an unprimeable number, because it can be changed into a prime (1127146327) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36359544 + ... + 36359574.

Almost surely, 2^1127146329 is an apocalyptic number.

1127146329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1127146329 is the 33573-rd square number.

1127146329 is the 16787-th centered octagonal number.

It is an amenable number.

1127146329 is a deficient number, since it is larger than the sum of its proper divisors (648628620).

1127146329 is an frugal number, since it uses more digits than its factorization.

1127146329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 53 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The cubic root of 1127146329 is about 1040.7029053057.

Multiplying 1127146329 by its sum of digits (36), we get a square (40577267844 = 201438²).

It can be divided in two parts, 11271 and 46329, that added together give a square (57600 = 240²).

The spelling of 1127146329 in words is "one billion, one hundred twenty-seven million, one hundred forty-six thousand, three hundred twenty-nine".