214345540404144 has 80 divisors (see below), whose sum is σ = 615611096805600. Its totient is φ = 71406706017024.

The previous prime is 214345540404139. The next prime is 214345540404167. The reversal of 214345540404144 is 441404045543412.

214345540404144 is a `hidden beast` number, since 2 + 1 + 43 + 4 + 554 + 0 + 40 + 4 + 14 + 4 = 666.

It is a super-2 number, since 2×214345540404144² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214345540404144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144425619 + ... + 145902194.

It is an arithmetic number, because the mean of its divisors is an integer number (7695138710070).

Almost surely, 2^{214345540404144} is an apocalyptic number.

214345540404144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214345540404144 is an abundant number, since it is smaller than the sum of its proper divisors (401265556401456).

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

214345540404144 is a wasteful number, since it uses less digits than its factorization.

214345540404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290329539 (or 290329527 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 214345540404144 its reverse (441404045543412), we get a palindrome (655749585947556).

The spelling of 214345540404144 in words is "two hundred fourteen trillion, three hundred forty-five billion, five hundred forty million, four hundred four thousand, one hundred forty-four".