213013474208892 has 144 divisors (see below), whose sum is σ = 618886395359232. Its totient is φ = 60514373773440.

The previous prime is 213013474208891. The next prime is 213013474208917. The reversal of 213013474208892 is 298802474310312.

213013474208892 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 3 + 474 + 2 + 0 + 88 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013474208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29637093 + ... + 36116259.

Almost surely, 2^{213013474208892} 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 213013474208892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309443197679616).

213013474208892 is an abundant number, since it is smaller than the sum of its proper divisors (405872921150340).

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

213013474208892 is a wasteful number, since it uses less digits than its factorization.

213013474208892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479928 (or 6479923 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 213013474208892 in words is "two hundred thirteen trillion, thirteen billion, four hundred seventy-four million, two hundred eight thousand, eight hundred ninety-two".