214106636240574 has 128 divisors (see below), whose sum is σ = 546336170569728. Its totient is φ = 54314417928960.

The previous prime is 214106636240573. The next prime is 214106636240647. The reversal of 214106636240574 is 475042636601412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214106636240573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248948617 + ... + 249807179.

It is an arithmetic number, because the mean of its divisors is an integer number (4268251332576).

Almost surely, 2^{214106636240574} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214106636240574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273168085284864).

214106636240574 is an abundant number, since it is smaller than the sum of its proper divisors (332229534329154).

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

214106636240574 is a wasteful number, since it uses less digits than its factorization.

214106636240574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871182.

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 214106636240574 in words is "two hundred fourteen trillion, one hundred six billion, six hundred thirty-six million, two hundred forty thousand, five hundred seventy-four".