213414503346 has 72 divisors (see below), whose sum is σ = 509765682972. Its totient is φ = 64478937600.

The previous prime is 213414503333. The next prime is 213414503353. The reversal of 213414503346 is 643305414312.

213414503346 is a `hidden beast` number, since 2 + 134 + 1 + 450 + 33 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 173356482321 + 40058021025 = 416361^2 + 200145^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213414503346.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 588606 + ... + 879366.

Almost surely, 2^213414503346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213414503346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254882841486).

213414503346 is an abundant number, since it is smaller than the sum of its proper divisors (296351179626).

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

213414503346 is a wasteful number, since it uses less digits than its factorization.

213414503346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291128 (or 291114 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 213414503346 its reverse (643305414312), we get a palindrome (856719917658).

The spelling of 213414503346 in words is "two hundred thirteen billion, four hundred fourteen million, five hundred three thousand, three hundred forty-six".