6401143552 has 144 divisors (see below), whose sum is σ = 14223051360. Its totient is φ = 2861236224.

The previous prime is 6401143549. The next prime is 6401143561. The reversal of 6401143552 is 2553411046.

It is a happy number.

It is a super-2 number, since 2×6401143552² = 81949277546622353408, which contains 22 as substring.

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, 8455558 + ... + 8456314.

It is an arithmetic number, because the mean of its divisors is an integer number (98771190).

Almost surely, 2^6401143552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6401143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111525680).

6401143552 is an abundant number, since it is smaller than the sum of its proper divisors (7821907808).

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

6401143552 is a wasteful number, since it uses less digits than its factorization.

6401143552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 6401143552 is about 80007.1468807631. The cubic root of 6401143552 is about 1856.7461080719.

Adding to 6401143552 its reverse (2553411046), we get a palindrome (8954554598).

The spelling of 6401143552 in words is "six billion, four hundred one million, one hundred forty-three thousand, five hundred fifty-two".