19966753846368 has 144 divisors (see below), whose sum is σ = 64894006378656. Its totient is φ = 5704606033920.

The previous prime is 19966753846307. The next prime is 19966753846387. The reversal of 19966753846368 is 86364835766991.

19966753846368 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 6 + 7 + 538 + 46 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19966753846368² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 71616358 + ... + 71894618.

It is an arithmetic number, because the mean of its divisors is an integer number (450652822074).

Almost surely, 2^{19966753846368} is an apocalyptic number.

19966753846368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19966753846368 is an abundant number, since it is smaller than the sum of its proper divisors (44927252532288).

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

19966753846368 is a wasteful number, since it uses less digits than its factorization.

19966753846368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313877 (or 313866 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 19966753846368 in words is "nineteen trillion, nine hundred sixty-six billion, seven hundred fifty-three million, eight hundred forty-six thousand, three hundred sixty-eight".