16946589440 has 144 divisors (see below), whose sum is σ = 46613992320. Its totient is φ = 5837967360.

The previous prime is 16946589389. The next prime is 16946589449. The reversal of 16946589440 is 4498564961.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16946589449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235847 + ... + 299193.

It is an arithmetic number, because the mean of its divisors is an integer number (323708280).

Almost surely, 2^16946589440 is an apocalyptic number.

16946589440 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 16946589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23306996160).

16946589440 is an abundant number, since it is smaller than the sum of its proper divisors (29667402880).

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

16946589440 is a wasteful number, since it uses less digits than its factorization.

16946589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63398 (or 63384 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 56.

The spelling of 16946589440 in words is "sixteen billion, nine hundred forty-six million, five hundred eighty-nine thousand, four hundred forty".