19234934784 has 416 divisors, whose sum is σ = 65061440640. Its totient is φ = 5563219968.

The previous prime is 19234934783. The next prime is 19234934821. The reversal of 19234934784 is 48743943291.

19234934784 is a `hidden beast` number, since 19 + 23 + 493 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×19234934784² (a number of 21 digits) contains 22 as substring.

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 19234934784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19234934783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24440439 + ... + 24441225.

Almost surely, 2^19234934784 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 19234934784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32530720320).

19234934784 is an abundant number, since it is smaller than the sum of its proper divisors (45826505856).

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

19234934784 is a wasteful number, since it uses less digits than its factorization.

19234934784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 822 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 19234934784 in words is "nineteen billion, two hundred thirty-four million, nine hundred thirty-four thousand, seven hundred eighty-four".