16014822204864 has 448 divisors, whose sum is σ = 52034597683200. Its totient is φ = 4242888179712.

The previous prime is 16014822204863. The next prime is 16014822204889. The reversal of 16014822204864 is 46840222841061.

It is a happy number.

16014822204864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16014822204863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864581907 + ... + 864600429.

Almost surely, 2^{16014822204864} is an apocalyptic number.

16014822204864 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 16014822204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26017298841600).

16014822204864 is an abundant number, since it is smaller than the sum of its proper divisors (36019775478336).

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

16014822204864 is a wasteful number, since it uses less digits than its factorization.

16014822204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19120 (or 19110 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 16014822204864 in words is "sixteen trillion, fourteen billion, eight hundred twenty-two million, two hundred four thousand, eight hundred sixty-four".