1161755712 has 168 divisors, whose sum is σ = 3620484504. Its totient is φ = 354041856.

The previous prime is 1161755669. The next prime is 1161755717. The reversal of 1161755712 is 2175571611.

It is a happy number.

1161755712 is a `hidden beast` number, since 1 + 16 + 1 + 75 + 571 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 1111288896 = 7104^2 + 33336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1161755717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845458 + ... + 846830.

It is an arithmetic number, because the mean of its divisors is an integer number (21550503).

Almost surely, 2^1161755712 is an apocalyptic number.

1161755712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161755712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810242252).

1161755712 is an abundant number, since it is smaller than the sum of its proper divisors (2458728792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1161755712 is a wasteful number, since it uses less digits than its factorization.

1161755712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1504 counting only the distinct ones).

The product of its digits is 14700, while the sum is 36.

The square root of 1161755712 is about 34084.5377260716. The cubic root of 1161755712 is about 1051.2474099952.

The spelling of 1161755712 in words is "one billion, one hundred sixty-one million, seven hundred fifty-five thousand, seven hundred twelve".