1117859616 has 240 divisors, whose sum is σ = 3635622144. Its totient is φ = 335149056.

The previous prime is 1117859581. The next prime is 1117859621. The reversal of 1117859616 is 6169587111.

1117859616 = 108³ + 109³ + ... + 260³.

1117859616 is a `hidden beast` number, since 11 + 17 + 8 + 5 + 9 + 616 = 666.

It is a super-2 number, since 2×1117859616² = 2499220242167334912, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1012921 + ... + 1014023.

Almost surely, 2^1117859616 is an apocalyptic number.

1117859616 is a gapful number since it is divisible by the number (16) 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 1117859616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817811072).

1117859616 is an abundant number, since it is smaller than the sum of its proper divisors (2517762528).

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

1117859616 is a wasteful number, since it uses less digits than its factorization.

1117859616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1148 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1117859616 is about 33434.4076663547. The cubic root of 1117859616 is about 1037.8368549769.

The spelling of 1117859616 in words is "one billion, one hundred seventeen million, eight hundred fifty-nine thousand, six hundred sixteen".