6180083341344 has 144 divisors (see below), whose sum is σ = 19179827110080. Its totient is φ = 1872017671680.

The previous prime is 6180083341331. The next prime is 6180083341391. The reversal of 6180083341344 is 4431433800816.

6180083341344 is a `hidden beast` number, since 6 + 180 + 0 + 8 + 334 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 6180083341344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7719117 + ... + 8482035.

It is an arithmetic number, because the mean of its divisors is an integer number (133193243820).

Almost surely, 2^{6180083341344} 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 6180083341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589913555040).

6180083341344 is an abundant number, since it is smaller than the sum of its proper divisors (12999743768736).

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

6180083341344 is a wasteful number, since it uses less digits than its factorization.

6180083341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765503 (or 765492 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 6180083341344 in words is "six trillion, one hundred eighty billion, eighty-three million, three hundred forty-one thousand, three hundred forty-four".