19064653824 has 192 divisors, whose sum is σ = 53397489600. Its totient is φ = 6040387584.

The previous prime is 19064653819. The next prime is 19064653871. The reversal of 19064653824 is 42835646091.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×19064653824² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11936994 + ... + 11938590.

It is an arithmetic number, because the mean of its divisors is an integer number (278111925).

Almost surely, 2^19064653824 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 19064653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26698744800).

19064653824 is an abundant number, since it is smaller than the sum of its proper divisors (34332835776).

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

19064653824 is a wasteful number, since it uses less digits than its factorization.

19064653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 19064653824 in words is "nineteen billion, sixty-four million, six hundred fifty-three thousand, eight hundred twenty-four".