6341664340561 has 64 divisors (see below), whose sum is σ = 7378463462400. Its totient is φ = 5397616224000.

The previous prime is 6341664340553. The next prime is 6341664340577. The reversal of 6341664340561 is 1650434661436.

It is not a de Polignac number, because 6341664340561 - 2³ = 6341664340553 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6341664340061) 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 63 ways as a sum of consecutive naturals, for example, 9594045571 + ... + 9594046231.

It is an arithmetic number, because the mean of its divisors is an integer number (115288491600).

Almost surely, 2^{6341664340561} is an apocalyptic number.

6341664340561 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6341664340561 is a deficient number, since it is larger than the sum of its proper divisors (1036799121839).

6341664340561 is an frugal number, since it uses more digits than its factorization.

6341664340561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

It can be divided in two parts, 6341664 and 340561, that added together give a square (6682225 = 2585²).

The spelling of 6341664340561 in words is "six trillion, three hundred forty-one billion, six hundred sixty-four million, three hundred forty thousand, five hundred sixty-one".