3666448518144 has 176 divisors, whose sum is σ = 10126294801920. Its totient is φ = 1178613596160.

The previous prime is 3666448518113. The next prime is 3666448518169. The reversal of 3666448518144 is 4418158446663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10259914 + ... + 10611254.

It is an arithmetic number, because the mean of its divisors is an integer number (57535765920).

Almost surely, 2^{3666448518144} 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 3666448518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063147400960).

3666448518144 is an abundant number, since it is smaller than the sum of its proper divisors (6459846283776).

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

3666448518144 is a wasteful number, since it uses less digits than its factorization.

3666448518144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351486 (or 351468 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 60.

The spelling of 3666448518144 in words is "three trillion, six hundred sixty-six billion, four hundred forty-eight million, five hundred eighteen thousand, one hundred forty-four".