16617070368 has 144 divisors (see below), whose sum is σ = 49015878912. Its totient is φ = 5334336000.

The previous prime is 16617070363. The next prime is 16617070381. The reversal of 16617070368 is 86307071661.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×16617070368² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16617070363) 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 23 ways as a sum of consecutive naturals, for example, 1879398 + ... + 1888218.

It is an arithmetic number, because the mean of its divisors is an integer number (340388048).

Almost surely, 2^16617070368 is an apocalyptic number.

16617070368 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 16617070368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507939456).

16617070368 is an abundant number, since it is smaller than the sum of its proper divisors (32398808544).

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

16617070368 is a wasteful number, since it uses less digits than its factorization.

16617070368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16617070368 in words is "sixteen billion, six hundred seventeen million, seventy thousand, three hundred sixty-eight".