209213992416 has 192 divisors, whose sum is σ = 646180125696. Its totient is φ = 58432358400.

The previous prime is 209213992381. The next prime is 209213992433. The reversal of 209213992416 is 614299312902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9282601 + ... + 9305111.

It is an arithmetic number, because the mean of its divisors is an integer number (3365521488).

Almost surely, 2^209213992416 is an apocalyptic number.

209213992416 is a gapful number since it is divisible by the number (26) 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 209213992416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323090062848).

209213992416 is an abundant number, since it is smaller than the sum of its proper divisors (436966133280).

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

209213992416 is a wasteful number, since it uses less digits than its factorization.

209213992416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23225 (or 23217 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 209213992416 in words is "two hundred nine billion, two hundred thirteen million, nine hundred ninety-two thousand, four hundred sixteen".