16454388319488 has 864 divisors, whose sum is σ = 60994678268160. Its totient is φ = 4156595896320.

The previous prime is 16454388319441. The next prime is 16454388319489. The reversal of 16454388319488 is 88491388345461.

16454388319488 is a `hidden beast` number, since 1 + 6 + 4 + 54 + 3 + 8 + 83 + 19 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16454388319489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294162883 + ... + 294218813.

It is an arithmetic number, because the mean of its divisors is an integer number (70595692440).

Almost surely, 2^{16454388319488} is an apocalyptic number.

16454388319488 is a gapful number since it is divisible by the number (18) 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 16454388319488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30497339134080).

16454388319488 is an abundant number, since it is smaller than the sum of its proper divisors (44540289948672).

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

16454388319488 is a wasteful number, since it uses less digits than its factorization.

16454388319488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56043 (or 56026 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 16454388319488 in words is "sixteen trillion, four hundred fifty-four billion, three hundred eighty-eight million, three hundred nineteen thousand, four hundred eighty-eight".