1116945000 has 120 divisors (see below), whose sum is σ = 3780266490. Its totient is φ = 297840000.

The previous prime is 1116944987. The next prime is 1116945013. The reversal of 1116945000 is 5496111.

It is an interprime number because it is at equal distance from previous prime (1116944987) and next prime (1116945013).

It can be written as a sum of positive squares in 5 ways, for example, as 10850436 + 1106094564 = 3294^2 + 33258^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1116945000² = 2495132266050000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct 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 29 ways as a sum of consecutive naturals, for example, 32590 + ... + 57410.

Almost surely, 2^1116945000 is an apocalyptic number.

1116945000 is a gapful number since it is divisible by the number (10) 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 1116945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890133245).

1116945000 is an abundant number, since it is smaller than the sum of its proper divisors (2663321490).

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

1116945000 is a wasteful number, since it uses less digits than its factorization.

1116945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24853 (or 24831 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1116945000 is about 33420.7271016057. The cubic root of 1116945000 is about 1037.5537302217.

It can be divided in two parts, 11169 and 45000, that added together give a square (56169 = 237²).

The spelling of 1116945000 in words is "one billion, one hundred sixteen million, nine hundred forty-five thousand".