1144113600 has 336 divisors, whose sum is σ = 4544494848. Its totient is φ = 246005760.

The previous prime is 1144113571. The next prime is 1144113613. The reversal of 1144113600 is 63114411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 570199 + ... + 572201.

Almost surely, 2^1144113600 is an apocalyptic number.

1144113600 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 1144113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272247424).

1144113600 is an abundant number, since it is smaller than the sum of its proper divisors (3400381248).

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

1144113600 is a wasteful number, since it uses less digits than its factorization.

1144113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1144113600 is about 33824.7483360926. The cubic root of 1144113600 is about 1045.8989235577.

The spelling of 1144113600 in words is "one billion, one hundred forty-four million, one hundred thirteen thousand, six hundred".