6313262623136 has 192 divisors, whose sum is σ = 14742631411200. Its totient is φ = 2605655900160.

The previous prime is 6313262623121. The next prime is 6313262623139.

6313262623136 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6313262623139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136630565 + ... + 136676763.

It is an arithmetic number, because the mean of its divisors is an integer number (76784538600).

Almost surely, 2^{6313262623136} 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 6313262623136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371315705600).

6313262623136 is an abundant number, since it is smaller than the sum of its proper divisors (8429368788064).

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

6313262623136 is a wasteful number, since it uses less digits than its factorization.

6313262623136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46487 (or 46479 counting only the distinct ones).

The product of its digits is 839808, while the sum is 44.

The spelling of 6313262623136 in words is "six trillion, three hundred thirteen billion, two hundred sixty-two million, six hundred twenty-three thousand, one hundred thirty-six".