16921051855344 has 960 divisors, whose sum is σ = 62524120422400. Its totient is φ = 4266117144576.

The previous prime is 16921051855333. The next prime is 16921051855429. The reversal of 16921051855344 is 44355815012961.

16921051855344 is a `hidden beast` number, since 1 + 6 + 9 + 21 + 0 + 5 + 1 + 85 + 534 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3405320892 + ... + 3405325860.

Almost surely, 2^{16921051855344} is an apocalyptic number.

16921051855344 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 16921051855344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31262060211200).

16921051855344 is an abundant number, since it is smaller than the sum of its proper divisors (45603068567056).

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

16921051855344 is a wasteful number, since it uses less digits than its factorization.

16921051855344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 16921051855344 in words is "sixteen trillion, nine hundred twenty-one billion, fifty-one million, eight hundred fifty-five thousand, three hundred forty-four".