1144917792 has 72 divisors (see below), whose sum is σ = 3360913920. Its totient is φ = 369325440.

The previous prime is 1144917779. The next prime is 1144917793. The reversal of 1144917792 is 2977194411.

1144917792 is a `hidden beast` number, since 1 + 1 + 4 + 491 + 77 + 92 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1144917793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55192 + ... + 73047.

It is an arithmetic number, because the mean of its divisors is an integer number (46679360).

Almost surely, 2^1144917792 is an apocalyptic number.

1144917792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1144917792 is an abundant number, since it is smaller than the sum of its proper divisors (2215996128).

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

1144917792 is a wasteful number, since it uses less digits than its factorization.

1144917792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128286 (or 128275 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 1144917792 is about 33836.6338751360. The cubic root of 1144917792 is about 1046.1439186220.

It can be divided in two parts, 11449 and 17792, that added together give a square (29241 = 171²).

The spelling of 1144917792 in words is "one billion, one hundred forty-four million, nine hundred seventeen thousand, seven hundred ninety-two".