19944012720384 has 135 divisors (see below), whose sum is σ = 59471354862073. Its totient is φ = 6647789878272.

The previous prime is 19944012720329. The next prime is 19944012720397. The reversal of 19944012720384 is 48302721044991.

The square root of 19944012720384 is 4465872.

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

19944012720384 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 401 + 27 + 203 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32141318400 + 19911871401984 = 179280^2 + 4462272^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19944012720384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 643070062 + ... + 643101074.

Almost surely, 2^{19944012720384} is an apocalyptic number.

19944012720384 is the 4465872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19944012720384

19944012720384 is an abundant number, since it is smaller than the sum of its proper divisors (39527342141689).

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

19944012720384 is an frugal number, since it uses more digits than its factorization.

19944012720384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62054 (or 31018 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 19944012720384 in words is "nineteen trillion, nine hundred forty-four billion, twelve million, seven hundred twenty thousand, three hundred eighty-four".