19345066868736 has 720 divisors, whose sum is σ = 67365848309760. Its totient is φ = 5225604710400.

The previous prime is 19345066868713. The next prime is 19345066868741. The reversal of 19345066868736 is 63786866054391.

19345066868736 is a `hidden beast` number, since 1 + 9 + 3 + 4 + 506 + 6 + 8 + 6 + 87 + 36 = 666.

It is a super-2 number, since 2×19345066868736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 16807181761 + ... + 16807182911.

It is an arithmetic number, because the mean of its divisors is an integer number (93563678208).

Almost surely, 2^{19345066868736} is an apocalyptic number.

19345066868736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19345066868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33682924154880).

19345066868736 is an abundant number, since it is smaller than the sum of its proper divisors (48020781441024).

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

19345066868736 is a wasteful number, since it uses less digits than its factorization.

19345066868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 19345066868736 in words is "nineteen trillion, three hundred forty-five billion, sixty-six million, eight hundred sixty-eight thousand, seven hundred thirty-six".