1144836000 has 864 divisors, whose sum is σ = 5243434560. Its totient is φ = 233856000.

The previous prime is 1144835957. The next prime is 1144836019. The reversal of 1144836000 is 6384411.

1144836000 is a `hidden beast` number, since 1 + 14 + 48 + 3 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19403971 + ... + 19404029.

It is an arithmetic number, because the mean of its divisors is an integer number (6068790).

Almost surely, 2^1144836000 is an apocalyptic number.

1144836000 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 1144836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621717280).

1144836000 is an abundant number, since it is smaller than the sum of its proper divisors (4098598560).

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

1144836000 is a wasteful number, since it uses less digits than its factorization.

1144836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1144836000 is about 33835.4252226864. The cubic root of 1144836000 is about 1046.1190061372.

The spelling of 1144836000 in words is "one billion, one hundred forty-four million, eight hundred thirty-six thousand".