1133945987161 has 15 divisors (see below), whose sum is σ = 1228633167723. Its totient is φ = 1046553253200.

The previous prime is 1133945987107. The next prime is 1133945987179. The reversal of 1133945987161 is 1617895493311.

The square root of 1133945987161 is 1064869.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1117103138761 + 16842848400 = 1056931^2 + 129780^2 .

It is not a de Polignac number, because 1133945987161 - 2³¹ = 1131798503513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1133945987096 and 1133945987105.

It is not an unprimeable number, because it can be changed into a prime (1133940987161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 179959711 + ... + 179966011.

Almost surely, 2^{1133945987161} is an apocalyptic number.

1133945987161 is the 1064869-th square number.

1133945987161 is the 532435-th centered octagonal number.

It is an amenable number.

1133945987161 is a deficient number, since it is larger than the sum of its proper divisors (94687180562).

1133945987161 is an frugal number, since it uses more digits than its factorization.

1133945987161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12654 (or 6314 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 58.

The spelling of 1133945987161 in words is "one trillion, one hundred thirty-three billion, nine hundred forty-five million, nine hundred eighty-seven thousand, one hundred sixty-one".