1144032768 has 80 divisors (see below), whose sum is σ = 3386457360. Its totient is φ = 381339648.

The previous prime is 1144032767. The next prime is 1144032779. The reversal of 1144032768 is 8672304411.

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 (1144032767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27555 + ... + 55202.

It is an arithmetic number, because the mean of its divisors is an integer number (42330717).

Almost surely, 2^1144032768 is an apocalyptic number.

1144032768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1144032768 is an abundant number, since it is smaller than the sum of its proper divisors (2242424592).

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

1144032768 is an frugal number, since it uses more digits than its factorization.

1144032768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82784 (or 82762 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1144032768 is about 33823.5534502216. The cubic root of 1144032768 is about 1045.8742919440.

The spelling of 1144032768 in words is "one billion, one hundred forty-four million, thirty-two thousand, seven hundred sixty-eight".