1114941600 has 216 divisors, whose sum is σ = 4163288220. Its totient is φ = 279797760.

The previous prime is 1114941593. The next prime is 1114941601. The reversal of 1114941600 is 61494111.

1114941600 is a `hidden beast` number, since 1 + 1 + 14 + 9 + 41 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 324432144 + 790509456 = 18012^2 + 28116^2 .

It is not an unprimeable number, because it can be changed into a prime (1114941601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 117846 + ... + 126954.

Almost surely, 2^1114941600 is an apocalyptic number.

1114941600 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 1114941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081644110).

1114941600 is an abundant number, since it is smaller than the sum of its proper divisors (3048346620).

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

1114941600 is a wasteful number, since it uses less digits than its factorization.

1114941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1114941600 is about 33390.7412316648. The cubic root of 1114941600 is about 1036.9330254842.

The spelling of 1114941600 in words is "one billion, one hundred fourteen million, nine hundred forty-one thousand, six hundred".