209468242038528 has 792 divisors, whose sum is σ = 724445861163696. Its totient is φ = 59740581888000.

The previous prime is 209468242038521. The next prime is 209468242038577. The reversal of 209468242038528 is 825830242864902.

It is a happy number.

209468242038528 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 6 + 8 + 242 + 0 + 385 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×209468242038528² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209468242038521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2826756678 + ... + 2826830778.

Almost surely, 2^{209468242038528} 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 209468242038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362222930581848).

209468242038528 is an abundant number, since it is smaller than the sum of its proper divisors (514977619125168).

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

209468242038528 is an frugal number, since it uses more digits than its factorization.

209468242038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74175 (or 74134 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 209468242038528 in words is "two hundred nine trillion, four hundred sixty-eight billion, two hundred forty-two million, thirty-eight thousand, five hundred twenty-eight".