16391141784864 has 288 divisors, whose sum is σ = 58178192357376. Its totient is φ = 4252740226560.

The previous prime is 16391141784863. The next prime is 16391141784881. The reversal of 16391141784864 is 46848714119361.

It is a happy number.

16391141784864 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 1 + 141 + 7 + 8 + 486 + 4 = 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16391141784863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19706169 + ... + 20521095.

It is an arithmetic number, because the mean of its divisors is an integer number (202007612352).

Almost surely, 2^{16391141784864} is an apocalyptic number.

16391141784864 is a gapful number since it is divisible by the number (14) 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 16391141784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089096178688).

16391141784864 is an abundant number, since it is smaller than the sum of its proper divisors (41787050572512).

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

16391141784864 is a wasteful number, since it uses less digits than its factorization.

16391141784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815868 (or 815857 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 16391141784864 in words is "sixteen trillion, three hundred ninety-one billion, one hundred forty-one million, seven hundred eighty-four thousand, eight hundred sixty-four".