214041254064 has 240 divisors, whose sum is σ = 617512726656. Its totient is φ = 63830384640.

The previous prime is 214041254047. The next prime is 214041254117. The reversal of 214041254064 is 460452140412.

214041254064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101296272 + ... + 101298384.

Almost surely, 2^214041254064 is an apocalyptic number.

214041254064 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 214041254064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308756363328).

214041254064 is an abundant number, since it is smaller than the sum of its proper divisors (403471472592).

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

214041254064 is a wasteful number, since it uses less digits than its factorization.

214041254064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 214041254064 its reverse (460452140412), we get a palindrome (674493394476).

The spelling of 214041254064 in words is "two hundred fourteen billion, forty-one million, two hundred fifty-four thousand, sixty-four".