213134684832 has 96 divisors (see below), whose sum is σ = 623488320000. Its totient is φ = 70833982464.

The previous prime is 213134684801. The next prime is 213134684843. The reversal of 213134684832 is 238486431312.

213134684832 is a `hidden beast` number, since 2 + 131 + 34 + 6 + 8 + 483 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74832 + ... + 657167.

It is an arithmetic number, because the mean of its divisors is an integer number (6494670000).

Almost surely, 2^213134684832 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 213134684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311744160000).

213134684832 is an abundant number, since it is smaller than the sum of its proper divisors (410353635168).

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

213134684832 is a wasteful number, since it uses less digits than its factorization.

213134684832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732355 (or 732341 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 213134684832 in words is "two hundred thirteen billion, one hundred thirty-four million, six hundred eighty-four thousand, eight hundred thirty-two".