1115168544 has 144 divisors (see below), whose sum is σ = 3636464832. Its totient is φ = 317551104.

The previous prime is 1115168507. The next prime is 1115168591. The reversal of 1115168544 is 4458615111.

1115168544 is a `hidden beast` number, since 1 + 1 + 1 + 51 + 68 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1115168499 and 1115168508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751227 + ... + 752709.

It is an arithmetic number, because the mean of its divisors is an integer number (25253228).

Almost surely, 2^1115168544 is an apocalyptic number.

1115168544 is a gapful number since it is divisible by the number (14) 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 1115168544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818232416).

1115168544 is an abundant number, since it is smaller than the sum of its proper divisors (2521296288).

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

1115168544 is a wasteful number, since it uses less digits than its factorization.

1115168544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1868 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1115168544 is about 33394.1393660624. The cubic root of 1115168544 is about 1037.0033758845.

The spelling of 1115168544 in words is "one billion, one hundred fifteen million, one hundred sixty-eight thousand, five hundred forty-four".