9781814016 has 360 divisors, whose sum is σ = 31765305264. Its totient is φ = 2976030720.

The previous prime is 9781813973. The next prime is 9781814039. The reversal of 9781814016 is 6104181879.

It is a happy number.

9781814016 is a `hidden beast` number, since 97 + 81 + 81 + 401 + 6 = 666.

It is a super-2 number, since 2×9781814016² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 35313270 + ... + 35313546.

Almost surely, 2^9781814016 is an apocalyptic number.

9781814016 is a gapful number since it is divisible by the number (96) 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 9781814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882652632).

9781814016 is an abundant number, since it is smaller than the sum of its proper divisors (21983491248).

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

9781814016 is a wasteful number, since it uses less digits than its factorization.

9781814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 9781814016 is about 98903.0536232325. The cubic root of 9781814016 is about 2138.6504152623.

The spelling of 9781814016 in words is "nine billion, seven hundred eighty-one million, eight hundred fourteen thousand, sixteen".