1144120608 has 72 divisors (see below), whose sum is σ = 3329293968. Its totient is φ = 372500352.

The previous prime is 1144120597. The next prime is 1144120631. The reversal of 1144120608 is 8060214411.

It is a happy number.

1144120608 is a `hidden beast` number, since 1 + 1 + 44 + 12 + 0 + 608 = 666.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33810 + ... + 58577.

It is an arithmetic number, because the mean of its divisors is an integer number (46240194).

Almost surely, 2^1144120608 is an apocalyptic number.

1144120608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1144120608 is an abundant number, since it is smaller than the sum of its proper divisors (2185173360).

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

1144120608 is a wasteful number, since it uses less digits than its factorization.

1144120608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92446 (or 92435 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1144120608 is about 33824.8519287225. The cubic root of 1144120608 is about 1045.9010590230.

The spelling of 1144120608 in words is "one billion, one hundred forty-four million, one hundred twenty thousand, six hundred eight".