16705414000 has 160 divisors (see below), whose sum is σ = 45093185280. Its totient is φ = 5933088000.

The previous prime is 16705413943. The next prime is 16705414003. The reversal of 16705414000 is 41450761.

It is a super-2 number, since 2×16705414000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16705414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16705414003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937171 + ... + 954829.

It is an arithmetic number, because the mean of its divisors is an integer number (281832408).

Almost surely, 2^16705414000 is an apocalyptic number.

16705414000 is a gapful number since it is divisible by the number (10) 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 16705414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546592640).

16705414000 is an abundant number, since it is smaller than the sum of its proper divisors (28387771280).

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

16705414000 is a wasteful number, since it uses less digits than its factorization.

16705414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736 (or 17720 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 16705414000 its reverse (41450761), we get a palindrome (16746864761).

The spelling of 16705414000 in words is "sixteen billion, seven hundred five million, four hundred fourteen thousand".