213305476608 has 480 divisors, whose sum is σ = 755808768000. Its totient is φ = 57728692224.

The previous prime is 213305476603. The next prime is 213305476621. The reversal of 213305476608 is 806674503312.

213305476608 is a `hidden beast` number, since 2 + 1 + 3 + 30 + 5 + 4 + 7 + 6 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213305476603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30026785 + ... + 30033887.

It is an arithmetic number, because the mean of its divisors is an integer number (1574601600).

Almost surely, 2^213305476608 is an apocalyptic number.

213305476608 is a gapful number since it is divisible by the number (28) 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 213305476608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377904384000).

213305476608 is an abundant number, since it is smaller than the sum of its proper divisors (542503291392).

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

213305476608 is an equidigital number, since it uses as much as digits as its factorization.

213305476608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 213305476608 in words is "two hundred thirteen billion, three hundred five million, four hundred seventy-six thousand, six hundred eight".