209415219680832 has 224 divisors, whose sum is σ = 608491795968000. Its totient is φ = 63035986944000.

The previous prime is 209415219680819. The next prime is 209415219680833. The reversal of 209415219680832 is 238086912514902.

It is a super-2 number, since 2×209415219680832² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (209415219680833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201894669 + ... + 202929267.

It is an arithmetic number, because the mean of its divisors is an integer number (2716481232000).

Almost surely, 2^{209415219680832} is an apocalyptic number.

209415219680832 is a gapful number since it is divisible by the number (22) 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 209415219680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304245897984000).

209415219680832 is an abundant number, since it is smaller than the sum of its proper divisors (399076576287168).

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

209415219680832 is a wasteful number, since it uses less digits than its factorization.

209415219680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035265 (or 1035255 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 209415219680832 in words is "two hundred nine trillion, four hundred fifteen billion, two hundred nineteen million, six hundred eighty thousand, eight hundred thirty-two".