2014106064224 has 48 divisors (see below), whose sum is σ = 4048755852960. Its totient is φ = 986070328320.

The previous prime is 2014106064203. The next prime is 2014106064233. The reversal of 2014106064224 is 4224606014102.

It is a super-2 number, since 2×2014106064224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3139667 + ... + 3726354.

It is an arithmetic number, because the mean of its divisors is an integer number (84349080270).

Almost surely, 2^{2014106064224} is an apocalyptic number.

It is an amenable number.

2014106064224 is an abundant number, since it is smaller than the sum of its proper divisors (2034649788736).

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

2014106064224 is a wasteful number, since it uses less digits than its factorization.

2014106064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866223 (or 6866215 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 2014106064224 in words is "two trillion, fourteen billion, one hundred six million, sixty-four thousand, two hundred twenty-four".