218261463552 has 240 divisors, whose sum is σ = 689311640160. Its totient is φ = 65934950400.

The previous prime is 218261463517. The next prime is 218261463617. The reversal of 218261463552 is 255364162812.

218261463552 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 6 + 1 + 4 + 635 + 5 + 2 = 666.

It is a super-2 number, since 2×218261463552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 218261463498 and 218261463507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16771224 + ... + 16784232.

It is an arithmetic number, because the mean of its divisors is an integer number (2872131834).

Almost surely, 2^218261463552 is an apocalyptic number.

218261463552 is a gapful number since it is divisible by the number (22) 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 218261463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344655820080).

218261463552 is an abundant number, since it is smaller than the sum of its proper divisors (471050176608).

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

218261463552 is a wasteful number, since it uses less digits than its factorization.

218261463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13375 (or 13356 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 218261463552 in words is "two hundred eighteen billion, two hundred sixty-one million, four hundred sixty-three thousand, five hundred fifty-two".