19147536090864 has 480 divisors, whose sum is σ = 59021452099584. Its totient is φ = 5775188981760.

The previous prime is 19147536090863. The next prime is 19147536090869. The reversal of 19147536090864 is 46809063574191.

19147536090864 is a `hidden beast` number, since 1 + 9 + 1 + 4 + 7 + 536 + 0 + 90 + 8 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19147536090863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4888314634 + ... + 4888318550.

Almost surely, 2^{19147536090864} 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 19147536090864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29510726049792).

19147536090864 is an abundant number, since it is smaller than the sum of its proper divisors (39873916008720).

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

19147536090864 is a wasteful number, since it uses less digits than its factorization.

19147536090864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 19147536090864 in words is "nineteen trillion, one hundred forty-seven billion, five hundred thirty-six million, ninety thousand, eight hundred sixty-four".