18834748416 has 528 divisors, whose sum is σ = 62537978880. Its totient is φ = 5409423360.

The previous prime is 18834748397. The next prime is 18834748441. The reversal of 18834748416 is 61484743881.

18834748416 is a `hidden beast` number, since 1 + 8 + 83 + 474 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281115615 + ... + 281115681.

Almost surely, 2^18834748416 is an apocalyptic number.

18834748416 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 18834748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31268989440).

18834748416 is an abundant number, since it is smaller than the sum of its proper divisors (43703230464).

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

18834748416 is a wasteful number, since it uses less digits than its factorization.

18834748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 18834748416 in words is "eighteen billion, eight hundred thirty-four million, seven hundred forty-eight thousand, four hundred sixteen".