1144720512 has 384 divisors, whose sum is σ = 3898440000. Its totient is φ = 331444224.

The previous prime is 1144720487. The next prime is 1144720523. The reversal of 1144720512 is 2150274411.

1144720512 is a `hidden beast` number, since 1 + 1 + 447 + 205 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7682614 + ... + 7682762.

Almost surely, 2^1144720512 is an apocalyptic number.

1144720512 is a gapful number since it is divisible by the number (12) 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 1144720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949220000).

1144720512 is an abundant number, since it is smaller than the sum of its proper divisors (2753719488).

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

1144720512 is a wasteful number, since it uses less digits than its factorization.

1144720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1144720512 is about 33833.7185659513. The cubic root of 1144720512 is about 1046.0838283899.

Adding to 1144720512 its reverse (2150274411), we get a palindrome (3294994923).

The spelling of 1144720512 in words is "one billion, one hundred forty-four million, seven hundred twenty thousand, five hundred twelve".