18830968416 has 144 divisors (see below), whose sum is σ = 57926507184. Its totient is φ = 5768358912.

The previous prime is 18830968399. The next prime is 18830968447. The reversal of 18830968416 is 61486903881.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838810 + ... + 860966.

It is an arithmetic number, because the mean of its divisors is an integer number (402267411).

Almost surely, 2^18830968416 is an apocalyptic number.

18830968416 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 18830968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28963253592).

18830968416 is an abundant number, since it is smaller than the sum of its proper divisors (39095538768).

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

18830968416 is a wasteful number, since it uses less digits than its factorization.

18830968416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22413 (or 22402 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18830968416 in words is "eighteen billion, eight hundred thirty million, nine hundred sixty-eight thousand, four hundred sixteen".