19344213000 has 576 divisors, whose sum is σ = 76896892800. Its totient is φ = 4296326400.

The previous prime is 19344212963. The next prime is 19344213061. The reversal of 19344213000 is 31244391.

19344213000 is a `hidden beast` number, since 1 + 93 + 442 + 130 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 139166931 + ... + 139167069.

It is an arithmetic number, because the mean of its divisors is an integer number (133501550).

Almost surely, 2^19344213000 is an apocalyptic number.

19344213000 is a gapful number since it is divisible by the number (10) 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 19344213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38448446400).

19344213000 is an abundant number, since it is smaller than the sum of its proper divisors (57552679800).

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

19344213000 is a wasteful number, since it uses less digits than its factorization.

19344213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 19344213000 its reverse (31244391), we get a palindrome (19375457391).

The spelling of 19344213000 in words is "nineteen billion, three hundred forty-four million, two hundred thirteen thousand".