18961070016 has 112 divisors (see below), whose sum is σ = 57369374720. Its totient is φ = 5414169600.

The previous prime is 18961069979. The next prime is 18961070069. The reversal of 18961070016 is 61007016981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006066 + ... + 3012366.

It is an arithmetic number, because the mean of its divisors is an integer number (512226560).

Almost surely, 2^18961070016 is an apocalyptic number.

18961070016 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 18961070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28684687360).

18961070016 is an abundant number, since it is smaller than the sum of its proper divisors (38408304704).

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

18961070016 is a wasteful number, since it uses less digits than its factorization.

18961070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

Adding to 18961070016 its reverse (61007016981), we get a palindrome (79968086997).

The spelling of 18961070016 in words is "eighteen billion, nine hundred sixty-one million, seventy thousand, sixteen".