216457643664 has 30 divisors (see below), whose sum is σ = 605780767046. Its totient is φ = 72152547840.

The previous prime is 216457643657. The next prime is 216457643669. The reversal of 216457643664 is 466346754612.

It is a happy number.

216457643664 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 576 + 4 + 3 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 169365171600 + 47092472064 = 411540^2 + 217008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216457643664.

It is not an unprimeable number, because it can be changed into a prime (216457643669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 751588897 + ... + 751589184.

Almost surely, 2^216457643664 is an apocalyptic number.

216457643664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216457643664 is an abundant number, since it is smaller than the sum of its proper divisors (389323123382).

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

216457643664 is a wasteful number, since it uses less digits than its factorization.

216457643664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503178095 (or 1503178086 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 216457643664 in words is "two hundred sixteen billion, four hundred fifty-seven million, six hundred forty-three thousand, six hundred sixty-four".