1117416384 has 420 divisors, whose sum is σ = 3973168584. Its totient is φ = 309464064.

The previous prime is 1117416373. The next prime is 1117416397. The reversal of 1117416384 is 4836147111.

1117416384 is a `hidden beast` number, since 1 + 1 + 17 + 4 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×1117416384³ (a number of 28 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 59 ways as a sum of consecutive naturals, for example, 13462807 + ... + 13462889.

Almost surely, 2^1117416384 is an apocalyptic number.

1117416384 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 1117416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986584292).

1117416384 is an abundant number, since it is smaller than the sum of its proper divisors (2855752200).

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

1117416384 is an equidigital number, since it uses as much as digits as its factorization.

1117416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 1117416384 is about 33427.7786279615. The cubic root of 1117416384 is about 1037.6996692013.

The spelling of 1117416384 in words is "one billion, one hundred seventeen million, four hundred sixteen thousand, three hundred eighty-four".