218563090432 has 96 divisors (see below), whose sum is σ = 454685736960. Its totient is φ = 104919736320.

The previous prime is 218563090411. The next prime is 218563090451. The reversal of 218563090432 is 234090365812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8049423 + ... + 8076529.

It is an arithmetic number, because the mean of its divisors is an integer number (4736309760).

Almost surely, 2^218563090432 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 218563090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227342868480).

218563090432 is an abundant number, since it is smaller than the sum of its proper divisors (236122646528).

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

218563090432 is a wasteful number, since it uses less digits than its factorization.

218563090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27287 (or 27267 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 218563090432 in words is "two hundred eighteen billion, five hundred sixty-three million, ninety thousand, four hundred thirty-two".