1144913760 has 72 divisors (see below), whose sum is σ = 3907023120. Its totient is φ = 305309952.

The previous prime is 1144913753. The next prime is 1144913767. The reversal of 1144913760 is 673194411.

It is an interprime number because it is at equal distance from previous prime (1144913753) and next prime (1144913767).

It is a tau number, because it is divible by the number of its divisors (72).

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 (1144913767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396100 + ... + 398979.

It is an arithmetic number, because the mean of its divisors is an integer number (54264210).

Almost surely, 2^1144913760 is an apocalyptic number.

1144913760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144913760 is an abundant number, since it is smaller than the sum of its proper divisors (2762109360).

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

1144913760 is a wasteful number, since it uses less digits than its factorization.

1144913760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795100 (or 795089 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1144913760 is about 33836.5742946889. The cubic root of 1144913760 is about 1046.1426905695.

The spelling of 1144913760 in words is "one billion, one hundred forty-four million, nine hundred thirteen thousand, seven hundred sixty".