1164115355104 has 96 divisors (see below), whose sum is σ = 2599563970080. Its totient is φ = 508709486592.

The previous prime is 1164115355083. The next prime is 1164115355147. The reversal of 1164115355104 is 4015535114611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13813704 + ... + 13897720.

It is an arithmetic number, because the mean of its divisors is an integer number (27078791355).

Almost surely, 2^{1164115355104} 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 1164115355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299781985040).

1164115355104 is an abundant number, since it is smaller than the sum of its proper divisors (1435448614976).

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

1164115355104 is a wasteful number, since it uses less digits than its factorization.

1164115355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85812 (or 85804 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The spelling of 1164115355104 in words is "one trillion, one hundred sixty-four billion, one hundred fifteen million, three hundred fifty-five thousand, one hundred four".