209145416712192 has 680 divisors, whose sum is σ = 658695758619360. Its totient is φ = 65949637017600.

The previous prime is 209145416712137. The next prime is 209145416712241. The reversal of 209145416712192 is 291217614541902.

It is a happy number.

209145416712192 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 4 + 5 + 416 + 7 + 1 + 219 + 2 = 666.

It is a super-2 number, since 2×209145416712192² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106003758118 + ... + 106003760090.

Almost surely, 2^{209145416712192} 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 209145416712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329347879309680).

209145416712192 is an abundant number, since it is smaller than the sum of its proper divisors (449550341907168).

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

209145416712192 is an equidigital number, since it uses as much as digits as its factorization.

209145416712192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 209145416712192 in words is "two hundred nine trillion, one hundred forty-five billion, four hundred sixteen million, seven hundred twelve thousand, one hundred ninety-two".