16981312905216 has 672 divisors, whose sum is σ = 55645790054400. Its totient is φ = 5131937710080.

The previous prime is 16981312905199. The next prime is 16981312905281. The reversal of 16981312905216 is 61250921318961.

16981312905216 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 13 + 12 + 90 + 521 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10488765655 + ... + 10488767273.

It is an arithmetic number, because the mean of its divisors is an integer number (82806235200).

Almost surely, 2^{16981312905216} is an apocalyptic number.

16981312905216 is a gapful number since it is divisible by the number (16) 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 16981312905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822895027200).

16981312905216 is an abundant number, since it is smaller than the sum of its proper divisors (38664477149184).

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

16981312905216 is an equidigital number, since it uses as much as digits as its factorization.

16981312905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 16981312905216 in words is "sixteen trillion, nine hundred eighty-one billion, three hundred twelve million, nine hundred five thousand, two hundred sixteen".