213771106569216 has 704 divisors, whose sum is σ = 739913899622400. Its totient is φ = 53438491459584.

The previous prime is 213771106569211. The next prime is 213771106569227. The reversal of 213771106569216 is 612965601177312.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (213771106569211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272127981 + ... + 272912403.

Almost surely, 2^{213771106569216} 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 213771106569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369956949811200).

213771106569216 is an abundant number, since it is smaller than the sum of its proper divisors (526142793053184).

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

213771106569216 is a wasteful number, since it uses less digits than its factorization.

213771106569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784524 (or 784506 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 213771106569216 in words is "two hundred thirteen trillion, seven hundred seventy-one billion, one hundred six million, five hundred sixty-nine thousand, two hundred sixteen".