214061310144 has 280 divisors, whose sum is σ = 698720033088. Its totient is φ = 64258997760.

The previous prime is 214061310137. The next prime is 214061310157. The reversal of 214061310144 is 441013160412.

214061310144 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 613 + 1 + 0 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6084027 + ... + 6119109.

Almost surely, 2^214061310144 is an apocalyptic number.

214061310144 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 214061310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349360016544).

214061310144 is an abundant number, since it is smaller than the sum of its proper divisors (484658722944).

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

214061310144 is a wasteful number, since it uses less digits than its factorization.

214061310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35225 (or 35206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 214061310144 its reverse (441013160412), we get a palindrome (655074470556).

The spelling of 214061310144 in words is "two hundred fourteen billion, sixty-one million, three hundred ten thousand, one hundred forty-four".