214016644424225 has 24 divisors (see below), whose sum is σ = 272761828520760. Its totient is φ = 166514331456000.

The previous prime is 214016644424203. The next prime is 214016644424243. The reversal of 214016644424225 is 522424446610412.

It can be written as a sum of positive squares in 12 ways, for example, as 175791508132321 + 38225136291904 = 13258639^2 + 6182648^2 .

It is not a de Polignac number, because 214016644424225 - 2²⁸ = 214016375988769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214016644424225.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 788284406 + ... + 788555855.

It is an arithmetic number, because the mean of its divisors is an integer number (11365076188365).

Almost surely, 2^{214016644424225} is an apocalyptic number.

214016644424225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214016644424225 is a deficient number, since it is larger than the sum of its proper divisors (58745184096535).

214016644424225 is a wasteful number, since it uses less digits than its factorization.

214016644424225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576840421 (or 1576840416 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 47.

The spelling of 214016644424225 in words is "two hundred fourteen trillion, sixteen billion, six hundred forty-four million, four hundred twenty-four thousand, two hundred twenty-five".