1144596672 has 168 divisors, whose sum is σ = 3559740912. Its totient is φ = 350208000.

The previous prime is 1144596647. The next prime is 1144596703. The reversal of 1144596672 is 2766954411.

1144596672 is a `hidden beast` number, since 11 + 44 + 596 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×1144596672³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400047 + ... + 402897.

It is an arithmetic number, because the mean of its divisors is an integer number (21188934).

Almost surely, 2^1144596672 is an apocalyptic number.

1144596672 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 1144596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779870456).

1144596672 is an abundant number, since it is smaller than the sum of its proper divisors (2415144240).

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

1144596672 is a wasteful number, since it uses less digits than its factorization.

1144596672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2914 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1144596672 is about 33831.8883895061. Note that the first 3 decimals coincide. The cubic root of 1144596672 is about 1046.0461039871.

The spelling of 1144596672 in words is "one billion, one hundred forty-four million, five hundred ninety-six thousand, six hundred seventy-two".