218360460960 has 672 divisors, whose sum is σ = 836488114560. Its totient is φ = 53653653504.

The previous prime is 218360460931. The next prime is 218360460973. The reversal of 218360460960 is 69064063812.

218360460960 is a `hidden beast` number, since 2 + 1 + 8 + 36 + 0 + 4 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81996589 + ... + 81999251.

It is an arithmetic number, because the mean of its divisors is an integer number (1244773980).

Almost surely, 2^218360460960 is an apocalyptic number.

218360460960 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 218360460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418244057280).

218360460960 is an abundant number, since it is smaller than the sum of its proper divisors (618127653600).

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

218360460960 is a wasteful number, since it uses less digits than its factorization.

218360460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 218360460960 in words is "two hundred eighteen billion, three hundred sixty million, four hundred sixty thousand, nine hundred sixty".