218476612480 has 256 divisors, whose sum is σ = 638180674560. Its totient is φ = 69813043200.

The previous prime is 218476612451. The next prime is 218476612499. The reversal of 218476612480 is 84216674812.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7830555 + ... + 7858405.

It is an arithmetic number, because the mean of its divisors is an integer number (2492893260).

Almost surely, 2^218476612480 is an apocalyptic number.

218476612480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218476612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319090337280).

218476612480 is an abundant number, since it is smaller than the sum of its proper divisors (419704062080).

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

218476612480 is a wasteful number, since it uses less digits than its factorization.

218476612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27997 (or 27985 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 218476612480 in words is "two hundred eighteen billion, four hundred seventy-six million, six hundred twelve thousand, four hundred eighty".