6391146168 has 192 divisors, whose sum is σ = 19303764480. Its totient is φ = 1893945600.

The previous prime is 6391146127. The next prime is 6391146173. The reversal of 6391146168 is 8616411936.

6391146168 is a `hidden beast` number, since 639 + 1 + 1 + 4 + 6 + 1 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12705805 + ... + 12706307.

It is an arithmetic number, because the mean of its divisors is an integer number (100540440).

Almost surely, 2^6391146168 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 6391146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651882240).

6391146168 is an abundant number, since it is smaller than the sum of its proper divisors (12912618312).

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

6391146168 is a wasteful number, since it uses less digits than its factorization.

6391146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 843 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 6391146168 is about 79944.6443984836. The cubic root of 6391146168 is about 1855.7789748380.

The spelling of 6391146168 in words is "six billion, three hundred ninety-one million, one hundred forty-six thousand, one hundred sixty-eight".