1144085190 has 64 divisors (see below), whose sum is σ = 2897648640. Its totient is φ = 288299520.

The previous prime is 1144085167. The next prime is 1144085191. The reversal of 1144085190 is 915804411.

It is a super-2 number, since 2×1144085190² = 2617861843954672200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144085191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243342 + ... + 247998.

It is an arithmetic number, because the mean of its divisors is an integer number (45275760).

Almost surely, 2^1144085190 is an apocalyptic number.

1144085190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144085190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448824320).

1144085190 is an abundant number, since it is smaller than the sum of its proper divisors (1753563450).

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

1144085190 is a wasteful number, since it uses less digits than its factorization.

1144085190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1144085190 is about 33824.3283747069. The cubic root of 1144085190 is about 1045.8902664237.

The spelling of 1144085190 in words is "one billion, one hundred forty-four million, eighty-five thousand, one hundred ninety".