1161130844160 has 896 divisors, whose sum is σ = 4815815616000. Its totient is φ = 265314631680.

The previous prime is 1161130844149. The next prime is 1161130844249. The reversal of 1161130844160 is 614480311611.

1161130844160 is a `hidden beast` number, since 1 + 1 + 611 + 30 + 8 + 4 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×1161130844160² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 379329030 + ... + 379332090.

Almost surely, 2^{1161130844160} is an apocalyptic number.

1161130844160 is a gapful number since it is divisible by the number (10) 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 1161130844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407907808000).

1161130844160 is an abundant number, since it is smaller than the sum of its proper divisors (3654684771840).

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

1161130844160 is an frugal number, since it uses more digits than its factorization.

1161130844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1161130844160 in words is "one trillion, one hundred sixty-one billion, one hundred thirty million, eight hundred forty-four thousand, one hundred sixty".