218936659968 has 520 divisors, whose sum is σ = 735293357568. Its totient is φ = 64407011328.

The previous prime is 218936659961. The next prime is 218936660009. The reversal of 218936659968 is 869956639812.

218936659968 is a `hidden beast` number, since 21 + 8 + 9 + 3 + 6 + 6 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×218936659968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 218936659896 and 218936659905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218936659961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99199921 + ... + 99202127.

Almost surely, 2^218936659968 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 218936659968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367646678784).

218936659968 is an abundant number, since it is smaller than the sum of its proper divisors (516356697600).

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

218936659968 is a wasteful number, since it uses less digits than its factorization.

218936659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2248 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 218936659968 in words is "two hundred eighteen billion, nine hundred thirty-six million, six hundred fifty-nine thousand, nine hundred sixty-eight".