214216466004 has 36 divisors (see below), whose sum is σ = 549118271520. Its totient is φ = 70399776720.

The previous prime is 214216465987. The next prime is 214216466033. The reversal of 214216466004 is 400664612412.

214216466004 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 6 + 46 + 600 + 4 = 666.

214216466004 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×214216466004³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214216466004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41902074 + ... + 41907185.

It is an arithmetic number, because the mean of its divisors is an integer number (15253285320).

Almost surely, 2^214216466004 is an apocalyptic number.

It is an amenable number.

214216466004 is an abundant number, since it is smaller than the sum of its proper divisors (334901805516).

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

214216466004 is a wasteful number, since it uses less digits than its factorization.

214216466004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83809340 (or 83809335 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 214216466004 in words is "two hundred fourteen billion, two hundred sixteen million, four hundred sixty-six thousand, four".