213744944640 has 160 divisors (see below), whose sum is σ = 683668313856. Its totient is φ = 56969256960.

The previous prime is 213744944627. The next prime is 213744944641. The reversal of 213744944640 is 46449447312.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 213744944640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213744944641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17742459 + ... + 17754501.

Almost surely, 2^213744944640 is an apocalyptic number.

213744944640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213744944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341834156928).

213744944640 is an abundant number, since it is smaller than the sum of its proper divisors (469923369216).

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

213744944640 is a wasteful number, since it uses less digits than its factorization.

213744944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 213744944640 in words is "two hundred thirteen billion, seven hundred forty-four million, nine hundred forty-four thousand, six hundred forty".