19718131968 has 288 divisors, whose sum is σ = 60540009600. Its totient is φ = 6404935680.

The previous prime is 19718131957. The next prime is 19718131969. The reversal of 19718131968 is 86913181791.

19718131968 is a `hidden beast` number, since 1 + 97 + 181 + 319 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (19718131969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22954323 + ... + 22955181.

Almost surely, 2^19718131968 is an apocalyptic number.

19718131968 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 19718131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270004800).

19718131968 is an abundant number, since it is smaller than the sum of its proper divisors (40821877632).

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

19718131968 is an frugal number, since it uses more digits than its factorization.

19718131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 905 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The spelling of 19718131968 in words is "nineteen billion, seven hundred eighteen million, one hundred thirty-one thousand, nine hundred sixty-eight".