214456080384 has 1536 divisors, whose sum is σ = 871782912000. Its totient is φ = 50451185664.

The previous prime is 214456080343. The next prime is 214456080427. The reversal of 214456080384 is 483080654412.

214456080384 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 5 + 608 + 0 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1967486922 + ... + 1967487030.

It is an arithmetic number, because the mean of its divisors is an integer number (567567000).

Almost surely, 2^214456080384 is an apocalyptic number.

214456080384 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 214456080384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456000).

214456080384 is an abundant number, since it is smaller than the sum of its proper divisors (657326831616).

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

214456080384 is a wasteful number, since it uses less digits than its factorization.

214456080384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 214456080384 in words is "two hundred fourteen billion, four hundred fifty-six million, eighty thousand, three hundred eighty-four".