1117971816 has 128 divisors (see below), whose sum is σ = 3213302400. Its totient is φ = 321085440.

The previous prime is 1117971797. The next prime is 1117971847. The reversal of 1117971816 is 6181797111.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 694020 + ... + 695628.

It is an arithmetic number, because the mean of its divisors is an integer number (25103925).

Almost surely, 2^1117971816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117971816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606651200).

1117971816 is an abundant number, since it is smaller than the sum of its proper divisors (2095330584).

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

1117971816 is a wasteful number, since it uses less digits than its factorization.

1117971816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1775 counting only the distinct ones).

The product of its digits is 21168, while the sum is 42.

The square root of 1117971816 is about 33436.0855364380. The cubic root of 1117971816 is about 1037.8715765101.

The spelling of 1117971816 in words is "one billion, one hundred seventeen million, nine hundred seventy-one thousand, eight hundred sixteen".