213394341888 has 1440 divisors, whose sum is σ = 854940835840. Its totient is φ = 51597803520.

The previous prime is 213394341851. The next prime is 213394341917. The reversal of 213394341888 is 888143493312.

It is a happy number.

213394341888 is a `hidden beast` number, since 2 + 133 + 94 + 3 + 418 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6883688433 + ... + 6883688463.

Almost surely, 2^213394341888 is an apocalyptic number.

213394341888 is a gapful number since it is divisible by the number (28) 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 213394341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427470417920).

213394341888 is an abundant number, since it is smaller than the sum of its proper divisors (641546493952).

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

213394341888 is an equidigital number, since it uses as much as digits as its factorization.

213394341888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 213394341888 in words is "two hundred thirteen billion, three hundred ninety-four million, three hundred forty-one thousand, eight hundred eighty-eight".