6312664631416 has 128 divisors (see below), whose sum is σ = 13988022048000. Its totient is φ = 2632995072000.

The previous prime is 6312664631401. The next prime is 6312664631477. The reversal of 6312664631416 is 6141364662136.

It is a super-3 number, since 3×6312664631416³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6312664631416.

It is a congruent number.

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, 157406935 + ... + 157447033.

It is an arithmetic number, because the mean of its divisors is an integer number (109281422250).

Almost surely, 2^{6312664631416} 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 6312664631416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994011024000).

6312664631416 is an abundant number, since it is smaller than the sum of its proper divisors (7675357416584).

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

6312664631416 is a wasteful number, since it uses less digits than its factorization.

6312664631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40941 (or 40937 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 49.

The spelling of 6312664631416 in words is "six trillion, three hundred twelve billion, six hundred sixty-four million, six hundred thirty-one thousand, four hundred sixteen".