213748416 has 224 divisors, whose sum is σ = 737372160. Its totient is φ = 59443200.

The previous prime is 213748393. The next prime is 213748439. The reversal of 213748416 is 614847312.

213748416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213748393) and next prime (213748439).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495721 + ... + 496151.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2^213748416 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 213748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

213748416 is an abundant number, since it is smaller than the sum of its proper divisors (523623744).

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

213748416 is a wasteful number, since it uses less digits than its factorization.

213748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 213748416 is about 14620.1373454561. The cubic root of 213748416 is about 597.9079137704.

The spelling of 213748416 in words is "two hundred thirteen million, seven hundred forty-eight thousand, four hundred sixteen".