19538465683968 has 1980 divisors, whose sum is σ = 75560734369890. Its totient is φ = 5028367196160.

The previous prime is 19538465683921. The next prime is 19538465683981. The reversal of 19538465683968 is 86938656483591.

19538465683968 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 8 + 46 + 568 + 3 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15146792204544 + 4391673479424 = 3891888^2 + 2095632^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 179251978698 + ... + 179251978806.

Almost surely, 2^{19538465683968} is an apocalyptic number.

19538465683968 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 19538465683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37780367184945).

19538465683968 is an abundant number, since it is smaller than the sum of its proper divisors (56022268685922).

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

19538465683968 is an frugal number, since it uses more digits than its factorization.

19538465683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 132 counting only the distinct ones).

The product of its digits is 8062156800, while the sum is 81.

The spelling of 19538465683968 in words is "nineteen trillion, five hundred thirty-eight billion, four hundred sixty-five million, six hundred eighty-three thousand, nine hundred sixty-eight".