8144607059721 has 320 divisors, whose sum is σ = 14601367756800. Its totient is φ = 4469626137600.

The previous prime is 8144607059711. The next prime is 8144607059741. The reversal of 8144607059721 is 1279507064418.

8144607059721 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 607 + 0 + 5 + 9 + 7 + 21 = 666.

It is not a de Polignac number, because 8144607059721 - 2⁹ = 8144607059209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8144607059711) 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 319 ways as a sum of consecutive naturals, for example, 26021108661 + ... + 26021108973.

It is an arithmetic number, because the mean of its divisors is an integer number (45629274240).

Almost surely, 2^{8144607059721} is an apocalyptic number.

8144607059721 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8144607059721 is a deficient number, since it is larger than the sum of its proper divisors (6456760697079).

8144607059721 is a wasteful number, since it uses less digits than its factorization.

8144607059721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 8144607059721 in words is "eight trillion, one hundred forty-four billion, six hundred seven million, fifty-nine thousand, seven hundred twenty-one".