213148907712 has 336 divisors, whose sum is σ = 675801584640. Its totient is φ = 63825076224.

The previous prime is 213148907711. The next prime is 213148907717. The reversal of 213148907712 is 217709841312.

It is not an unprimeable number, because it can be changed into a prime (213148907711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50399614 + ... + 50403842.

It is an arithmetic number, because the mean of its divisors is an integer number (2011314240).

Almost surely, 2^213148907712 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 213148907712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337900792320).

213148907712 is an abundant number, since it is smaller than the sum of its proper divisors (462652676928).

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

213148907712 is a wasteful number, since it uses less digits than its factorization.

213148907712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 213148907712 in words is "two hundred thirteen billion, one hundred forty-eight million, nine hundred seven thousand, seven hundred twelve".