6356144961312 has 192 divisors, whose sum is σ = 16859985408000. Its totient is φ = 2096623597568.

The previous prime is 6356144961263. The next prime is 6356144961317. The reversal of 6356144961312 is 2131694416536.

It is a super-2 number, since 2×6356144961312² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6356144961317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4435550548 + ... + 4435551980.

It is an arithmetic number, because the mean of its divisors is an integer number (87812424000).

Almost surely, 2^{6356144961312} 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 6356144961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429992704000).

6356144961312 is an abundant number, since it is smaller than the sum of its proper divisors (10503840446688).

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

6356144961312 is a wasteful number, since it uses less digits than its factorization.

6356144961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2695 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 51.

The spelling of 6356144961312 in words is "six trillion, three hundred fifty-six billion, one hundred forty-four million, nine hundred sixty-one thousand, three hundred twelve".