218896722496 has 63 divisors (see below), whose sum is σ = 437990401513. Its totient is φ = 108544448000.

The previous prime is 218896722493. The next prime is 218896722509. The reversal of 218896722496 is 694227698812.

It is a happy number.

The square root of 218896722496 is 467864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44453505600 + 174443216896 = 210840^2 + 417664^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (41803776) is a multiple of the sum of its prime divisors (486).

It is not an unprimeable number, because it can be changed into a prime (218896722493) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 872098371 + ... + 872098621.

Almost surely, 2^218896722496 is an apocalyptic number.

218896722496 is the 467864-th square number.

It is an amenable number.

218896722496 is an abundant number, since it is smaller than the sum of its proper divisors (219093679017).

218896722496 is an frugal number, since it uses more digits than its factorization.

218896722496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 486 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 64.

Multiplying 218896722496 by its sum of digits (64), we get a square (14009390239744 = 3742912²).

218896722496 divided by its sum of digits (64) gives a square (3420261289 = 58483²).

The spelling of 218896722496 in words is "two hundred eighteen billion, eight hundred ninety-six million, seven hundred twenty-two thousand, four hundred ninety-six".