213645542328 has 160 divisors (see below), whose sum is σ = 618348720000. Its totient is φ = 68846526720.

The previous prime is 213645542311. The next prime is 213645542347. The reversal of 213645542328 is 823245546312.

213645542328 is a `hidden beast` number, since 2 + 1 + 3 + 64 + 554 + 2 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21469098 + ... + 21479046.

It is an arithmetic number, because the mean of its divisors is an integer number (3864679500).

Almost surely, 2^213645542328 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 213645542328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309174360000).

213645542328 is an abundant number, since it is smaller than the sum of its proper divisors (404703177672).

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

213645542328 is a wasteful number, since it uses less digits than its factorization.

213645542328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067 (or 11054 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 213645542328 in words is "two hundred thirteen billion, six hundred forty-five million, five hundred forty-two thousand, three hundred twenty-eight".