214468138368 has 256 divisors, whose sum is σ = 695579616000. Its totient is φ = 64514396160.

The previous prime is 214468138361. The next prime is 214468138429. The reversal of 214468138368 is 863831864412.

It is a happy number.

214468138368 is a `hidden beast` number, since 2 + 1 + 446 + 8 + 138 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214468138361) 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, 5187603 + ... + 5228781.

It is an arithmetic number, because the mean of its divisors is an integer number (2717107875).

Almost surely, 2^214468138368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214468138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347789808000).

214468138368 is an abundant number, since it is smaller than the sum of its proper divisors (481111477632).

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

214468138368 is a wasteful number, since it uses less digits than its factorization.

214468138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41350 (or 41332 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

It can be divided in two parts, 214468 and 138368, that added together give a square (352836 = 594²).

The spelling of 214468138368 in words is "two hundred fourteen billion, four hundred sixty-eight million, one hundred thirty-eight thousand, three hundred sixty-eight".