16290217416 has 288 divisors, whose sum is σ = 48524464800. Its totient is φ = 4550515200.

The previous prime is 16290217409. The next prime is 16290217459. The reversal of 16290217416 is 61471209261.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42981915 + ... + 42982293.

It is an arithmetic number, because the mean of its divisors is an integer number (168487725).

Almost surely, 2^16290217416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16290217416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262232400).

16290217416 is an abundant number, since it is smaller than the sum of its proper divisors (32234247384).

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

16290217416 is a wasteful number, since it uses less digits than its factorization.

16290217416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 16290217416 in words is "sixteen billion, two hundred ninety million, two hundred seventeen thousand, four hundred sixteen".