1116324000 has 288 divisors, whose sum is σ = 4323533760. Its totient is φ = 270528000.

The previous prime is 1116323993. The next prime is 1116324007. The reversal of 1116324000 is 4236111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1116323993) and next prime (1116324007).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1116324007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394591 + ... + 397409.

It is an arithmetic number, because the mean of its divisors is an integer number (15012270).

Almost surely, 2^1116324000 is an apocalyptic number.

1116324000 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 1116324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161766880).

1116324000 is an abundant number, since it is smaller than the sum of its proper divisors (3207209760).

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

1116324000 is a wasteful number, since it uses less digits than its factorization.

1116324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1116324000 is about 33411.4351682175. The cubic root of 1116324000 is about 1037.3614079159.

The spelling of 1116324000 in words is "one billion, one hundred sixteen million, three hundred twenty-four thousand".