6617349721143 has 64 divisors (see below), whose sum is σ = 11740026470400. Its totient is φ = 3601802302560.

The previous prime is 6617349721123. The next prime is 6617349721153. The reversal of 6617349721143 is 3411279437166.

6617349721143 is a `hidden beast` number, since 6 + 6 + 1 + 7 + 3 + 497 + 2 + 1 + 143 = 666.

It is not a de Polignac number, because 6617349721143 - 2¹⁴ = 6617349704759 is a prime.

It is a super-3 number, since 3×6617349721143³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6617349721143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6617349721123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145753 + ... + 4223618.

It is an arithmetic number, because the mean of its divisors is an integer number (183437913600).

Almost surely, 2^{6617349721143} is an apocalyptic number.

6617349721143 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

6617349721143 is a deficient number, since it is larger than the sum of its proper divisors (5122676749257).

6617349721143 is a wasteful number, since it uses less digits than its factorization.

6617349721143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369649 (or 6369643 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 6617349721143 in words is "six trillion, six hundred seventeen billion, three hundred forty-nine million, seven hundred twenty-one thousand, one hundred forty-three".