213486736848 has 480 divisors, whose sum is σ = 734121584640. Its totient is φ = 51925278720.

The previous prime is 213486736847. The next prime is 213486736877. The reversal of 213486736848 is 848637684312.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 213486736791 and 213486736800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213486736847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 287330365 + ... + 287331107.

It is an arithmetic number, because the mean of its divisors is an integer number (1529419968).

Almost surely, 2^213486736848 is an apocalyptic number.

213486736848 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 213486736848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367060792320).

213486736848 is an abundant number, since it is smaller than the sum of its proper divisors (520634847792).

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

213486736848 is a wasteful number, since it uses less digits than its factorization.

213486736848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1052 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 213486736848 in words is "two hundred thirteen billion, four hundred eighty-six million, seven hundred thirty-six thousand, eight hundred forty-eight".