213353428434084 has 192 divisors, whose sum is σ = 584038585804800. Its totient is φ = 67264238246400.

The previous prime is 213353428434077. The next prime is 213353428434103. The reversal of 213353428434084 is 480434824353312.

It is a happy number.

213353428434084 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 534 + 28 + 4 + 3 + 4 + 0 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 213353428434084.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28736782 + ... + 35390810.

It is an arithmetic number, because the mean of its divisors is an integer number (3041867634400).

Almost surely, 2^{213353428434084} 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 213353428434084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292019292902400).

213353428434084 is an abundant number, since it is smaller than the sum of its proper divisors (370685157370716).

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

213353428434084 is a wasteful number, since it uses less digits than its factorization.

213353428434084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654291 (or 6654283 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 213353428434084 in words is "two hundred thirteen trillion, three hundred fifty-three billion, four hundred twenty-eight million, four hundred thirty-four thousand, eighty-four".