6461442316314 has 96 divisors (see below), whose sum is σ = 14766575503680. Its totient is φ = 2117031552000.

The previous prime is 6461442316313. The next prime is 6461442316349. The reversal of 6461442316314 is 4136132441646.

6461442316314 is a `hidden beast` number, since 6 + 4 + 6 + 1 + 4 + 4 + 2 + 3 + 1 + 631 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6461442316314.

It is not an unprimeable number, because it can be changed into a prime (6461442316313) 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, 42941242 + ... + 43091450.

It is an arithmetic number, because the mean of its divisors is an integer number (153818494830).

Almost surely, 2^{6461442316314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6461442316314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383287751840).

6461442316314 is an abundant number, since it is smaller than the sum of its proper divisors (8305133187366).

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

6461442316314 is a wasteful number, since it uses less digits than its factorization.

6461442316314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151738 (or 151726 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 6461442316314 in words is "six trillion, four hundred sixty-one billion, four hundred forty-two million, three hundred sixteen thousand, three hundred fourteen".