1116364800 has 336 divisors, whose sum is σ = 3900464640. Its totient is φ = 281149440.

The previous prime is 1116364793. The next prime is 1116364807. The reversal of 1116364800 is 84636111.

It is an interprime number because it is at equal distance from previous prime (1116364793) and next prime (1116364807).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116364807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14131161 + ... + 14131239.

Almost surely, 2^1116364800 is an apocalyptic number.

1116364800 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 1116364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950232320).

1116364800 is an abundant number, since it is smaller than the sum of its proper divisors (2784099840).

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

1116364800 is an equidigital number, since it uses as much as digits as its factorization.

1116364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1116364800 is about 33412.0457320410. The cubic root of 1116364800 is about 1037.3740457731.

The spelling of 1116364800 in words is "one billion, one hundred sixteen million, three hundred sixty-four thousand, eight hundred".