19818614016 has 108 divisors (see below), whose sum is σ = 57261597120. Its totient is φ = 6592373760.

The previous prime is 19818613973. The next prime is 19818614041. The reversal of 19818614016 is 61041681891.

It is a happy number.

19818614016 is a `hidden beast` number, since 1 + 9 + 8 + 18 + 614 + 0 + 16 = 666.

It is a super-3 number, since 3×19818614016³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1122505 + ... + 1140023.

Almost surely, 2^19818614016 is an apocalyptic number.

19818614016 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 19818614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28630798560).

19818614016 is an abundant number, since it is smaller than the sum of its proper divisors (37442983104).

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

19818614016 is a wasteful number, since it uses less digits than its factorization.

19818614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 19818614016 in words is "nineteen billion, eight hundred eighteen million, six hundred fourteen thousand, sixteen".