218561029648 has 80 divisors (see below), whose sum is σ = 462120422400. Its totient is φ = 99530196480.

The previous prime is 218561029637. The next prime is 218561029663. The reversal of 218561029648 is 846920165812.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 218561029595 and 218561029604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30740718 + ... + 30747826.

It is an arithmetic number, because the mean of its divisors is an integer number (5776505280).

Almost surely, 2^218561029648 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 218561029648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231060211200).

218561029648 is an abundant number, since it is smaller than the sum of its proper divisors (243559392752).

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

218561029648 is a wasteful number, since it uses less digits than its factorization.

218561029648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 218561029648 in words is "two hundred eighteen billion, five hundred sixty-one million, twenty-nine thousand, six hundred forty-eight".