19187921340864 has 336 divisors, whose sum is σ = 58400939124736. Its totient is φ = 6012689356800.

The previous prime is 19187921340859. The next prime is 19187921340941. The reversal of 19187921340864 is 46804312978191.

19187921340864 is a `hidden beast` number, since 1 + 9 + 1 + 8 + 7 + 9 + 213 + 408 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 416861019 + ... + 416907045.

Almost surely, 2^{19187921340864} 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 19187921340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29200469562368).

19187921340864 is an abundant number, since it is smaller than the sum of its proper divisors (39213017783872).

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

19187921340864 is a wasteful number, since it uses less digits than its factorization.

19187921340864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46744 (or 46731 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 19187921340864 in words is "nineteen trillion, one hundred eighty-seven billion, nine hundred twenty-one million, three hundred forty thousand, eight hundred sixty-four".