1117936512 has 256 divisors, whose sum is σ = 4114598400. Its totient is φ = 290304000.

The previous prime is 1117936487. The next prime is 1117936549. The reversal of 1117936512 is 2156397111.

It is a happy number.

It is a super-2 number, since 2×1117936512² = 2499564089725452288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264012 + ... + 268212.

It is an arithmetic number, because the mean of its divisors is an integer number (16072650).

Almost surely, 2^1117936512 is an apocalyptic number.

1117936512 is a gapful number since it is divisible by the number (12) 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 1117936512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057299200).

1117936512 is an abundant number, since it is smaller than the sum of its proper divisors (2996661888).

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

1117936512 is a wasteful number, since it uses less digits than its factorization.

1117936512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4224 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1117936512 is about 33435.5575996573. The cubic root of 1117936512 is about 1037.8606515466.

The spelling of 1117936512 in words is "one billion, one hundred seventeen million, nine hundred thirty-six thousand, five hundred twelve".