218470411456 has 224 divisors, whose sum is σ = 498187065600. Its totient is φ = 94144081920.

The previous prime is 218470411429. The next prime is 218470411477. The reversal of 218470411456 is 654114074812.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388046631 + ... + 388047193.

It is an arithmetic number, because the mean of its divisors is an integer number (2224049400).

Almost surely, 2^218470411456 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 218470411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249093532800).

218470411456 is an abundant number, since it is smaller than the sum of its proper divisors (279716654144).

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

218470411456 is a wasteful number, since it uses less digits than its factorization.

218470411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

It can be divided in two parts, 218470 and 411456, that added together give a palindrome (629926).

The spelling of 218470411456 in words is "two hundred eighteen billion, four hundred seventy million, four hundred eleven thousand, four hundred fifty-six".