213743748064 has 96 divisors (see below), whose sum is σ = 525770009856. Its totient is φ = 83098014720.

The previous prime is 213743748037. The next prime is 213743748091. The reversal of 213743748064 is 460847347312.

It is an interprime number because it is at equal distance from previous prime (213743748037) and next prime (213743748091).

It is a junction number, because it is equal to n+sod(n) for n = 213743747999 and 213743748017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057812 + ... + 1243564.

It is an arithmetic number, because the mean of its divisors is an integer number (5476770936).

Almost surely, 2^213743748064 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 213743748064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262885004928).

213743748064 is an abundant number, since it is smaller than the sum of its proper divisors (312026261792).

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

213743748064 is a wasteful number, since it uses less digits than its factorization.

213743748064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186248 (or 186240 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The spelling of 213743748064 in words is "two hundred thirteen billion, seven hundred forty-three million, seven hundred forty-eight thousand, sixty-four".