218462552064 has 432 divisors, whose sum is σ = 690841176480. Its totient is φ = 68988174336.

The previous prime is 218462552059. The next prime is 218462552071. The reversal of 218462552064 is 460255264812.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

218462552064 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 62 + 5 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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, 11498029047 + ... + 11498029065.

It is an arithmetic number, because the mean of its divisors is an integer number (1599169390).

Almost surely, 2^218462552064 is an apocalyptic number.

218462552064 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 218462552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345420588240).

218462552064 is an abundant number, since it is smaller than the sum of its proper divisors (472378624416).

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

218462552064 is an frugal number, since it uses more digits than its factorization.

218462552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 218462552064 in words is "two hundred eighteen billion, four hundred sixty-two million, five hundred fifty-two thousand, sixty-four".