214321564079 has 48 divisors (see below), whose sum is σ = 261789859008. Its totient is φ = 174614888448.

The previous prime is 214321564063. The next prime is 214321564153. The reversal of 214321564079 is 970465123412.

It is not a de Polignac number, because 214321564079 - 2⁴ = 214321564063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214321564679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196085057 + ... + 196086149.

It is an arithmetic number, because the mean of its divisors is an integer number (5453955396).

Almost surely, 2^214321564079 is an apocalyptic number.

214321564079 is a deficient number, since it is larger than the sum of its proper divisors (47468294929).

214321564079 is a wasteful number, since it uses less digits than its factorization.

214321564079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 214321564079 in words is "two hundred fourteen billion, three hundred twenty-one million, five hundred sixty-four thousand, seventy-nine".