214432033676004 has 81 divisors (see below), whose sum is σ = 543822453438537. Its totient is φ = 71242609285728.

The previous prime is 214432033675967. The next prime is 214432033676009. The reversal of 214432033676004 is 400676330234412.

The square root of 214432033676004 is 14643498.

It is a perfect power (a square), and thus also a powerful number.

214432033676004 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 2 + 0 + 3 + 36 + 7 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12003106702500 + 202428926973504 = 3464550^2 + 14227752^2 .

It is not an unprimeable number, because it can be changed into a prime (214432033676009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27851929347 + ... + 27851937045.

Almost surely, 2^{214432033676004} is an apocalyptic number.

214432033676004 is the 14643498-th square number.

It is an amenable number.

214432033676004 is an abundant number, since it is smaller than the sum of its proper divisors (329390419762533).

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

214432033676004 is an frugal number, since it uses more digits than its factorization.

214432033676004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 214432033676004 in words is "two hundred fourteen trillion, four hundred thirty-two billion, thirty-three million, six hundred seventy-six thousand, four".