213474013752 has 128 divisors (see below), whose sum is σ = 581460768000. Its totient is φ = 65052933120.

The previous prime is 213474013747. The next prime is 213474013763. The reversal of 213474013752 is 257310474312.

It is a self number, because there is not a number n which added to its sum of digits gives 213474013752.

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 31 ways as a sum of consecutive naturals, for example, 34815727 + ... + 34821857.

It is an arithmetic number, because the mean of its divisors is an integer number (4542662250).

Almost surely, 2^213474013752 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 213474013752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290730384000).

213474013752 is an abundant number, since it is smaller than the sum of its proper divisors (367986754248).

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

213474013752 is a wasteful number, since it uses less digits than its factorization.

213474013752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8817 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 213474013752 in words is "two hundred thirteen billion, four hundred seventy-four million, thirteen thousand, seven hundred fifty-two".