16817225128704 has 3456 divisors, whose sum is σ = 73357761576960. Its totient is φ = 3724716441600.

The previous prime is 16817225128651. The next prime is 16817225128751. The reversal of 16817225128704 is 40782152271861.

16817225128704 is a `hidden beast` number, since 16 + 8 + 17 + 22 + 512 + 87 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×16817225128704² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34532289549 + ... + 34532290035.

It is an arithmetic number, because the mean of its divisors is an integer number (21226204160).

Almost surely, 2^{16817225128704} is an apocalyptic number.

16817225128704 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 16817225128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36678880788480).

16817225128704 is an abundant number, since it is smaller than the sum of its proper divisors (56540536448256).

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

16817225128704 is a wasteful number, since it uses less digits than its factorization.

16817225128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 16817225128704 in words is "sixteen trillion, eight hundred seventeen billion, two hundred twenty-five million, one hundred twenty-eight thousand, seven hundred four".