218038539264 has 352 divisors, whose sum is σ = 716899357440. Its totient is φ = 57373360128.

The previous prime is 218038539253. The next prime is 218038539281. The reversal of 218038539264 is 462935830812.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216093192 + ... + 216094200.

Almost surely, 2^218038539264 is an apocalyptic number.

218038539264 is a gapful number since it is divisible by the number (24) 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 218038539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358449678720).

218038539264 is an abundant number, since it is smaller than the sum of its proper divisors (498860818176).

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

218038539264 is a wasteful number, since it uses less digits than its factorization.

218038539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 218038539264 in words is "two hundred eighteen billion, thirty-eight million, five hundred thirty-nine thousand, two hundred sixty-four".