6313451201442 has 192 divisors, whose sum is σ = 17151598264320. Its totient is φ = 1630547107200.

The previous prime is 6313451201423. The next prime is 6313451201443. The reversal of 6313451201442 is 2441021543136.

6313451201442 is a `hidden beast` number, since 6 + 3 + 1 + 3 + 4 + 5 + 1 + 201 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6313451201397 and 6313451201406.

It is not an unprimeable number, because it can be changed into a prime (6313451201443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191166943 + ... + 191199965.

It is an arithmetic number, because the mean of its divisors is an integer number (89331240960).

Almost surely, 2^{6313451201442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6313451201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575799132160).

6313451201442 is an abundant number, since it is smaller than the sum of its proper divisors (10838147062878).

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

6313451201442 is a wasteful number, since it uses less digits than its factorization.

6313451201442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33829 (or 33826 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 6313451201442 its reverse (2441021543136), we get a palindrome (8754472744578).

The spelling of 6313451201442 in words is "six trillion, three hundred thirteen billion, four hundred fifty-one million, two hundred one thousand, four hundred forty-two".