6341181685272 has 768 divisors, whose sum is σ = 22401404928000. Its totient is φ = 1650824582400.

The previous prime is 6341181685271. The next prime is 6341181685283. The reversal of 6341181685272 is 2725861811436.

It is a happy number.

6341181685272 is a `hidden beast` number, since 6 + 3 + 41 + 18 + 1 + 68 + 527 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6341181685271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1041070947 + ... + 1041077037.

It is an arithmetic number, because the mean of its divisors is an integer number (29168496000).

Almost surely, 2^{6341181685272} is an apocalyptic number.

6341181685272 is a gapful number since it is divisible by the number (62) 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 6341181685272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200702464000).

6341181685272 is an abundant number, since it is smaller than the sum of its proper divisors (16060223242728).

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

6341181685272 is a wasteful number, since it uses less digits than its factorization.

6341181685272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6320 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 6341181685272 in words is "six trillion, three hundred forty-one billion, one hundred eighty-one million, six hundred eighty-five thousand, two hundred seventy-two".