19863101894416 has 135 divisors (see below), whose sum is σ = 42598759275093. Its totient is φ = 8965663470720.

The previous prime is 19863101894411. The next prime is 19863101894429. The reversal of 19863101894416 is 61449810136891.

The square root of 19863101894416 is 4456804.

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

It can be written as a sum of positive squares in only one way, i.e., 16152393152016 + 3710708742400 = 4019004^2 + 1926320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19863101894411) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 39023775570 + ... + 39023776078.

Almost surely, 2^{19863101894416} is an apocalyptic number.

19863101894416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19863101894416 is the 4456804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19863101894416

19863101894416 is an abundant number, since it is smaller than the sum of its proper divisors (22735657380677).

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

19863101894416 is an frugal number, since it uses more digits than its factorization.

19863101894416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 19863101894416 in words is "nineteen trillion, eight hundred sixty-three billion, one hundred one million, eight hundred ninety-four thousand, four hundred sixteen".