16412827968 has 168 divisors, whose sum is σ = 49453604928. Its totient is φ = 5194303488.

The previous prime is 16412827943. The next prime is 16412827979. The reversal of 16412827968 is 86972821461.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1810455 + ... + 1819497.

It is an arithmetic number, because the mean of its divisors is an integer number (294366696).

Almost surely, 2^16412827968 is an apocalyptic number.

16412827968 is a gapful number since it is divisible by the number (18) 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 16412827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24726802464).

16412827968 is an abundant number, since it is smaller than the sum of its proper divisors (33040776960).

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

16412827968 is a wasteful number, since it uses less digits than its factorization.

16412827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9208 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 16412827968 in words is "sixteen billion, four hundred twelve million, eight hundred twenty-seven thousand, nine hundred sixty-eight".