213696034344 has 288 divisors, whose sum is σ = 666337726080. Its totient is φ = 61702857216.

The previous prime is 213696034273. The next prime is 213696034351. The reversal of 213696034344 is 443430696312.

213696034344 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 9 + 603 + 4 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213696034344.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14825589 + ... + 14839995.

It is an arithmetic number, because the mean of its divisors is an integer number (2313672660).

Almost surely, 2^213696034344 is an apocalyptic number.

213696034344 is a gapful number since it is divisible by the number (24) 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 213696034344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333168863040).

213696034344 is an abundant number, since it is smaller than the sum of its proper divisors (452641691736).

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

213696034344 is a wasteful number, since it uses less digits than its factorization.

213696034344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14521 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 213696034344 in words is "two hundred thirteen billion, six hundred ninety-six million, thirty-four thousand, three hundred forty-four".