16016416416 has 480 divisors, whose sum is σ = 63254556288. Its totient is φ = 3839477760.

The previous prime is 16016416373. The next prime is 16016416463. The reversal of 16016416416 is 61461461061.

16016416416 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 6 + 4 + 1 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2591506 + ... + 2597678.

Almost surely, 2^16016416416 is an apocalyptic number.

16016416416 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 16016416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31627278144).

16016416416 is an abundant number, since it is smaller than the sum of its proper divisors (47238139872).

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

16016416416 is a wasteful number, since it uses less digits than its factorization.

16016416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 16016416416 its reverse (61461461061), we get a palindrome (77477877477).

The spelling of 16016416416 in words is "sixteen billion, sixteen million, four hundred sixteen thousand, four hundred sixteen".