218057297472 has 504 divisors, whose sum is σ = 766720596096. Its totient is φ = 58961903616.

The previous prime is 218057297407. The next prime is 218057297477. The reversal of 218057297472 is 274792750812.

218057297472 is a `hidden beast` number, since 2 + 1 + 80 + 5 + 7 + 2 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (218057297477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62966013 + ... + 62969475.

It is an arithmetic number, because the mean of its divisors is an integer number (1521271024).

Almost surely, 2^218057297472 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 218057297472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383360298048).

218057297472 is an abundant number, since it is smaller than the sum of its proper divisors (548663298624).

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

218057297472 is a wasteful number, since it uses less digits than its factorization.

218057297472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 218057297472 in words is "two hundred eighteen billion, fifty-seven million, two hundred ninety-seven thousand, four hundred seventy-two".