16978012416 has 216 divisors, whose sum is σ = 51152162880. Its totient is φ = 5408944128.

The previous prime is 16978012397. The next prime is 16978012439. The reversal of 16978012416 is 61421087961.

16978012416 is a `hidden beast` number, since 169 + 78 + 0 + 1 + 2 + 416 = 666.

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, 6880815 + ... + 6883281.

Almost surely, 2^16978012416 is an apocalyptic number.

16978012416 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 16978012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576081440).

16978012416 is an abundant number, since it is smaller than the sum of its proper divisors (34174150464).

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

16978012416 is a wasteful number, since it uses less digits than its factorization.

16978012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16978012416 in words is "sixteen billion, nine hundred seventy-eight million, twelve thousand, four hundred sixteen".