6317411958144 has 480 divisors, whose sum is σ = 21996709693200. Its totient is φ = 1794516498432.

The previous prime is 6317411958113. The next prime is 6317411958223. The reversal of 6317411958144 is 4418591147136.

6317411958144 is a `hidden beast` number, since 6 + 3 + 1 + 7 + 4 + 1 + 19 + 581 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87853597 + ... + 87925475.

Almost surely, 2^{6317411958144} is an apocalyptic number.

6317411958144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6317411958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998354846600).

6317411958144 is an abundant number, since it is smaller than the sum of its proper divisors (15679297735056).

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

6317411958144 is a wasteful number, since it uses less digits than its factorization.

6317411958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72092 (or 72064 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 6317411958144 in words is "six trillion, three hundred seventeen billion, four hundred eleven million, nine hundred fifty-eight thousand, one hundred forty-four".