18948882816 has 192 divisors, whose sum is σ = 56187658800. Its totient is φ = 6125137920.

The previous prime is 18948882811. The next prime is 18948882817. The reversal of 18948882816 is 61828884981.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18948882811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17858926 + ... + 17859986.

Almost surely, 2^18948882816 is an apocalyptic number.

18948882816 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 18948882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28093829400).

18948882816 is an abundant number, since it is smaller than the sum of its proper divisors (37238775984).

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

18948882816 is a wasteful number, since it uses less digits than its factorization.

18948882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1522 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 63.

The spelling of 18948882816 in words is "eighteen billion, nine hundred forty-eight million, eight hundred eighty-two thousand, eight hundred sixteen".