218955549120 has 448 divisors, whose sum is σ = 868262740992. Its totient is φ = 45416448000.

The previous prime is 218955549097. The next prime is 218955549143. The reversal of 218955549120 is 21945559812.

It is an interprime number because it is at equal distance from previous prime (218955549097) and next prime (218955549143).

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 47380410 + ... + 47385030.

Almost surely, 2^218955549120 is an apocalyptic number.

218955549120 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 218955549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434131370496).

218955549120 is an abundant number, since it is smaller than the sum of its proper divisors (649307191872).

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

218955549120 is a wasteful number, since it uses less digits than its factorization.

218955549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 218955549120 in words is "two hundred eighteen billion, nine hundred fifty-five million, five hundred forty-nine thousand, one hundred twenty".