1144274976 has 144 divisors (see below), whose sum is σ = 3617752320. Its totient is φ = 340692480.

The previous prime is 1144274959. The next prime is 1144275017. The reversal of 1144274976 is 6794724411.

1144274976 is a `hidden beast` number, since 114 + 42 + 7 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111135 + ... + 120993.

It is an arithmetic number, because the mean of its divisors is an integer number (25123280).

Almost surely, 2^1144274976 is an apocalyptic number.

1144274976 is a gapful number since it is divisible by the number (16) 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 1144274976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808876160).

1144274976 is an abundant number, since it is smaller than the sum of its proper divisors (2473477344).

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

1144274976 is a wasteful number, since it uses less digits than its factorization.

1144274976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9908 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1144274976 is about 33827.1337242753. The cubic root of 1144274976 is about 1045.9480955542.

The spelling of 1144274976 in words is "one billion, one hundred forty-four million, two hundred seventy-four thousand, nine hundred seventy-six".