215664245712 has 560 divisors, whose sum is σ = 678397294080. Its totient is φ = 66232857600.

The previous prime is 215664245711. The next prime is 215664245773. The reversal of 215664245712 is 217542466512.

215664245712 is a `hidden beast` number, since 2 + 1 + 56 + 6 + 4 + 24 + 571 + 2 = 666.

It is a super-2 number, since 2×215664245712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215664245711) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1373657538 + ... + 1373657694.

Almost surely, 2^215664245712 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 215664245712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339198647040).

215664245712 is an abundant number, since it is smaller than the sum of its proper divisors (462733048368).

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

215664245712 is a wasteful number, since it uses less digits than its factorization.

215664245712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 215664245712 in words is "two hundred fifteen billion, six hundred sixty-four million, two hundred forty-five thousand, seven hundred twelve".