19104166916064 has 288 divisors, whose sum is σ = 59522431288320. Its totient is φ = 6017645716992.

The previous prime is 19104166916027. The next prime is 19104166916113. The reversal of 19104166916064 is 46061966140191.

19104166916064 is a `hidden beast` number, since 1 + 9 + 1 + 0 + 416 + 6 + 9 + 160 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19104166916064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9697437 + ... + 11499939.

It is an arithmetic number, because the mean of its divisors is an integer number (206675108640).

Almost surely, 2^{19104166916064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19104166916064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29761215644160).

19104166916064 is an abundant number, since it is smaller than the sum of its proper divisors (40418264372256).

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

19104166916064 is a wasteful number, since it uses less digits than its factorization.

19104166916064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802604 (or 1802584 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 19104166916064 in words is "nineteen trillion, one hundred four billion, one hundred sixty-six million, nine hundred sixteen thousand, sixty-four".