16945138147968 has 128 divisors (see below), whose sum is σ = 50020600161600. Its totient is φ = 5647373337600.

The previous prime is 16945138147963. The next prime is 16945138148023. The reversal of 16945138147968 is 86974183154961.

16945138147968 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 5 + 13 + 81 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 16945138147896 and 16945138147905.

It is not an unprimeable number, because it can be changed into a prime (16945138147963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19096030 + ... + 19963682.

Almost surely, 2^{16945138147968} is an apocalyptic number.

16945138147968 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 16945138147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25010300080800).

16945138147968 is an abundant number, since it is smaller than the sum of its proper divisors (33075462013632).

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

16945138147968 is an equidigital number, since it uses as much as digits as its factorization.

16945138147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873327 (or 873309 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 72.

The spelling of 16945138147968 in words is "sixteen trillion, nine hundred forty-five billion, one hundred thirty-eight million, one hundred forty-seven thousand, nine hundred sixty-eight".