214467416064 has 832 divisors, whose sum is σ = 736765378560. Its totient is φ = 61555507200.

The previous prime is 214467416021. The next prime is 214467416077. The reversal of 214467416064 is 460614764412.

214467416064 is a `hidden beast` number, since 21 + 4 + 467 + 4 + 160 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4563136489 + ... + 4563136535.

Almost surely, 2^214467416064 is an apocalyptic number.

214467416064 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 214467416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368382689280).

214467416064 is an abundant number, since it is smaller than the sum of its proper divisors (522297962496).

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

214467416064 is an equidigital number, since it uses as much as digits as its factorization.

214467416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 214467416064 in words is "two hundred fourteen billion, four hundred sixty-seven million, four hundred sixteen thousand, sixty-four".