1684144031441 has 16 divisors (see below), whose sum is σ = 1730755952640. Its totient is φ = 1638198940560.

The previous prime is 1684144031411. The next prime is 1684144031447. The reversal of 1684144031441 is 1441304414861.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1684144031441 - 2²² = 1684139837137 is a prime.

It is a super-3 number, since 3×1684144031441³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1684144031447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7557680 + ... + 7777326.

It is an arithmetic number, because the mean of its divisors is an integer number (108172247040).

Almost surely, 2^{1684144031441} is an apocalyptic number.

It is an amenable number.

1684144031441 is a deficient number, since it is larger than the sum of its proper divisors (46611921199).

1684144031441 is a wasteful number, since it uses less digits than its factorization.

1684144031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221164.

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 1684144031441 in words is "one trillion, six hundred eighty-four billion, one hundred forty-four million, thirty-one thousand, four hundred forty-one".