6311954871456 has 192 divisors, whose sum is σ = 18440390586240. Its totient is φ = 1878001090560.

The previous prime is 6311954871437. The next prime is 6311954871557. The reversal of 6311954871456 is 6541784591136.

It is a self number, because there is not a number n which added to its sum of digits gives 6311954871456.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5236155 + ... + 6327813.

It is an arithmetic number, because the mean of its divisors is an integer number (96043700970).

Almost surely, 2^{6311954871456} 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 6311954871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220195293120).

6311954871456 is an abundant number, since it is smaller than the sum of its proper divisors (12128435714784).

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

6311954871456 is a wasteful number, since it uses less digits than its factorization.

6311954871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091839 (or 1091831 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 6311954871456 in words is "six trillion, three hundred eleven billion, nine hundred fifty-four million, eight hundred seventy-one thousand, four hundred fifty-six".