19838133816004 has 135 divisors (see below), whose sum is σ = 41423329484943. Its totient is φ = 8312557380624.

The previous prime is 19838133815993. The next prime is 19838133816013. The reversal of 19838133816004 is 40061833183891.

The square root of 19838133816004 is 4454002.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20515132729 + ... + 20515133695.

Almost surely, 2^{19838133816004} is an apocalyptic number.

19838133816004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19838133816004 is the 4454002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19838133816004

19838133816004 is an abundant number, since it is smaller than the sum of its proper divisors (21585195668939).

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

19838133816004 is an frugal number, since it uses more digits than its factorization.

19838133816004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

Adding to 19838133816004 its reverse (40061833183891), we get a palindrome (59899966999895).

The spelling of 19838133816004 in words is "nineteen trillion, eight hundred thirty-eight billion, one hundred thirty-three million, eight hundred sixteen thousand, four".