1117165504 has 168 divisors, whose sum is σ = 2825526480. Its totient is φ = 434294784.

The previous prime is 1117165481. The next prime is 1117165537. The reversal of 1117165504 is 4055617111.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2731252 + ... + 2731660.

It is an arithmetic number, because the mean of its divisors is an integer number (16818610).

Almost surely, 2^1117165504 is an apocalyptic number.

1117165504 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 1117165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412763240).

1117165504 is an abundant number, since it is smaller than the sum of its proper divisors (1708360976).

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

1117165504 is a wasteful number, since it uses less digits than its factorization.

1117165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 1117165504 is about 33424.0258496789. The cubic root of 1117165504 is about 1037.6220026654.

The spelling of 1117165504 in words is "one billion, one hundred seventeen million, one hundred sixty-five thousand, five hundred four".