214564404465412 has 24 divisors (see below), whose sum is σ = 379210994489880. Its totient is φ = 106218437337600.

The previous prime is 214564404465409. The next prime is 214564404465443.

214564404465412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 107451136466496 + 107113267998916 = 10365864^2 + 10349554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 214564404465412.

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 7 ways as a sum of consecutive naturals, for example, 23786764 + ... + 31542652.

It is an arithmetic number, because the mean of its divisors is an integer number (15800458103745).

Almost surely, 2^{214564404465412} is an apocalyptic number.

It is an amenable number.

214564404465412 is a deficient number, since it is larger than the sum of its proper divisors (164646590024468).

214564404465412 is a wasteful number, since it uses less digits than its factorization.

214564404465412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824471 (or 7824469 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 52.

The spelling of 214564404465412 in words is "two hundred fourteen trillion, five hundred sixty-four billion, four hundred four million, four hundred sixty-five thousand, four hundred twelve".