1144198272 has 128 divisors (see below), whose sum is σ = 3497702400. Its totient is φ = 324633600.

The previous prime is 1144198247. The next prime is 1144198283. The reversal of 1144198272 is 2728914411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1144198272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404479 + ... + 407297.

It is an arithmetic number, because the mean of its divisors is an integer number (27325800).

Almost surely, 2^1144198272 is an apocalyptic number.

1144198272 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 1144198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748851200).

1144198272 is an abundant number, since it is smaller than the sum of its proper divisors (2353504128).

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

1144198272 is a wasteful number, since it uses less digits than its factorization.

1144198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2982 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 1144198272 is about 33825.9999408739. Note that the first 4 decimals coincide. The cubic root of 1144198272 is about 1045.9247240753.

The spelling of 1144198272 in words is "one billion, one hundred forty-four million, one hundred ninety-eight thousand, two hundred seventy-two".