214100002212144 has 160 divisors (see below), whose sum is σ = 577591157514240. Its totient is φ = 68291343783936.

The previous prime is 214100002212143. The next prime is 214100002212157. The reversal of 214100002212144 is 441212200001412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214100002212143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13446364 + ... + 24678020.

It is an arithmetic number, because the mean of its divisors is an integer number (3609944734464).

Almost surely, 2^{214100002212144} is an apocalyptic number.

214100002212144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214100002212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288795578757120).

214100002212144 is an abundant number, since it is smaller than the sum of its proper divisors (363491155302096).

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

214100002212144 is a wasteful number, since it uses less digits than its factorization.

214100002212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11231907 (or 11231901 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 214100002212144 its reverse (441212200001412), we get a palindrome (655312202213556).

The spelling of 214100002212144 in words is "two hundred fourteen trillion, one hundred billion, two million, two hundred twelve thousand, one hundred forty-four".