19129831668 has 96 divisors (see below), whose sum is σ = 50046192000. Its totient is φ = 6318922752.

The previous prime is 19129831667. The next prime is 19129831691. The reversal of 19129831668 is 86613892191.

19129831668 is a `hidden beast` number, since 191 + 298 + 3 + 166 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19129831661) 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, 8414980 + ... + 8417252.

It is an arithmetic number, because the mean of its divisors is an integer number (521314500).

Almost surely, 2^19129831668 is an apocalyptic number.

19129831668 is a gapful number since it is divisible by the number (18) 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 19129831668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023096000).

19129831668 is an abundant number, since it is smaller than the sum of its proper divisors (30916360332).

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

19129831668 is a wasteful number, since it uses less digits than its factorization.

19129831668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2950 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 19129831668 in words is "nineteen billion, one hundred twenty-nine million, eight hundred thirty-one thousand, six hundred sixty-eight".