213242313054078 has 192 divisors, whose sum is σ = 587147395161600. Its totient is φ = 54323083745280.

The previous prime is 213242313054031. The next prime is 213242313054083. The reversal of 213242313054078 is 870450313242312.

213242313054078 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 2 + 3 + 1 + 30 + 540 + 78 = 666.

213242313054078 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32396938 + ... + 38419346.

It is an arithmetic number, because the mean of its divisors is an integer number (3058059349800).

Almost surely, 2^{213242313054078} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213242313054078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293573697580800).

213242313054078 is an abundant number, since it is smaller than the sum of its proper divisors (373905082107522).

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

213242313054078 is a wasteful number, since it uses less digits than its factorization.

213242313054078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022927 (or 6022924 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 213242313054078 in words is "two hundred thirteen trillion, two hundred forty-two billion, three hundred thirteen million, fifty-four thousand, seventy-eight".