7144869312 has 336 divisors, whose sum is σ = 24573219840. Its totient is φ = 1942050816.

The previous prime is 7144869299. The next prime is 7144869317. The reversal of 7144869312 is 2139684417.

7144869312 is a `hidden beast` number, since 71 + 4 + 486 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144869317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011139 + ... + 7012157.

Almost surely, 2^7144869312 is an apocalyptic number.

7144869312 is a gapful number since it is divisible by the number (72) 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 7144869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286609920).

7144869312 is an abundant number, since it is smaller than the sum of its proper divisors (17428350528).

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

7144869312 is a wasteful number, since it uses less digits than its factorization.

7144869312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1115 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7144869312 is about 84527.3287877950. The cubic root of 7144869312 is about 1926.0376088903.

The spelling of 7144869312 in words is "seven billion, one hundred forty-four million, eight hundred sixty-nine thousand, three hundred twelve".