214012302144 has 224 divisors, whose sum is σ = 604415961600. Its totient is φ = 66639697920.

The previous prime is 214012302109. The next prime is 214012302151. The reversal of 214012302144 is 441203210412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90261279 + ... + 90263649.

Almost surely, 2^214012302144 is an apocalyptic number.

214012302144 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 214012302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302207980800).

214012302144 is an abundant number, since it is smaller than the sum of its proper divisors (390403659456).

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

214012302144 is a wasteful number, since it uses less digits than its factorization.

214012302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214012302144 its reverse (441203210412), we get a palindrome (655215512556).

The spelling of 214012302144 in words is "two hundred fourteen billion, twelve million, three hundred two thousand, one hundred forty-four".