213265617408 has 120 divisors (see below), whose sum is σ = 615947600268. Its totient is φ = 71036731392.

The previous prime is 213265617307. The next prime is 213265617421. The reversal of 213265617408 is 804716562312.

213265617408 is a `hidden beast` number, since 2 + 1 + 3 + 26 + 5 + 617 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167209023744 + 46056593664 = 408912^2 + 214608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6587116 + ... + 6619412.

Almost surely, 2^213265617408 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 213265617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307973800134).

213265617408 is an abundant number, since it is smaller than the sum of its proper divisors (402681982860).

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

213265617408 is a wasteful number, since it uses less digits than its factorization.

213265617408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33754 (or 33735 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 213265617408 in words is "two hundred thirteen billion, two hundred sixty-five million, six hundred seventeen thousand, four hundred eight".