16854497605440 has 504 divisors, whose sum is σ = 64143981667584. Its totient is φ = 4058866944000.

The previous prime is 16854497605427. The next prime is 16854497605471. The reversal of 16854497605440 is 4450679445861.

16854497605440 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 44 + 97 + 60 + 5 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52460329 + ... + 52780631.

It is an arithmetic number, because the mean of its divisors is an integer number (127269804896).

Almost surely, 2^{16854497605440} is an apocalyptic number.

16854497605440 is a gapful number since it is divisible by the number (10) 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 16854497605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32071990833792).

16854497605440 is an abundant number, since it is smaller than the sum of its proper divisors (47289484062144).

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

16854497605440 is a wasteful number, since it uses less digits than its factorization.

16854497605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320499 (or 320475 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 16854497605440 in words is "sixteen trillion, eight hundred fifty-four billion, four hundred ninety-seven million, six hundred five thousand, four hundred forty".