6182009133696 has 480 divisors, whose sum is σ = 20692572516000. Its totient is φ = 1829754178560.

The previous prime is 6182009133673. The next prime is 6182009133719. The reversal of 6182009133696 is 6963319002816.

6182009133696 is a `hidden beast` number, since 6 + 18 + 200 + 9 + 1 + 336 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (6182009133673) and next prime (6182009133719).

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

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, 53887405 + ... + 54002003.

It is an arithmetic number, because the mean of its divisors is an integer number (43109526075).

Almost surely, 2^{6182009133696} is an apocalyptic number.

6182009133696 is a gapful number since it is divisible by the number (66) 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 6182009133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346286258000).

6182009133696 is an abundant number, since it is smaller than the sum of its proper divisors (14510563382304).

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

6182009133696 is a wasteful number, since it uses less digits than its factorization.

6182009133696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114690 (or 114658 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 6182009133696 in words is "six trillion, one hundred eighty-two billion, nine million, one hundred thirty-three thousand, six hundred ninety-six".