1144819008 has 280 divisors, whose sum is σ = 3651199200. Its totient is φ = 353590272.

The previous prime is 1144819003. The next prime is 1144819019. The reversal of 1144819008 is 8009184411.

It is a super-2 number, since 2×1144819008² = 2621221122156208128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144819003) 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 39 ways as a sum of consecutive naturals, for example, 5811166 + ... + 5811362.

Almost surely, 2^1144819008 is an apocalyptic number.

1144819008 is a gapful number since it is divisible by the number (18) 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 1144819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825599600).

1144819008 is an abundant number, since it is smaller than the sum of its proper divisors (2506380192).

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

1144819008 is a wasteful number, since it uses less digits than its factorization.

1144819008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1144819008 is about 33835.1741239793. The cubic root of 1144819008 is about 1046.1138305074.

The spelling of 1144819008 in words is "one billion, one hundred forty-four million, eight hundred nineteen thousand, eight".