1161416005104 has 160 divisors (see below), whose sum is σ = 3198976395264. Its totient is φ = 362247424000.

The previous prime is 1161416005093. The next prime is 1161416005121. The reversal of 1161416005104 is 4015006141611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136616854 + ... + 136625354.

Almost surely, 2^{1161416005104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161416005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599488197632).

1161416005104 is an abundant number, since it is smaller than the sum of its proper divisors (2037560390160).

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

1161416005104 is a wasteful number, since it uses less digits than its factorization.

1161416005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 1161416005104 in words is "one trillion, one hundred sixty-one billion, four hundred sixteen million, five thousand, one hundred four".