2114334400321 has 16 divisors (see below), whose sum is σ = 2518958832768. Its totient is φ = 1749276950400.

The previous prime is 2114334400253. The next prime is 2114334400349. The reversal of 2114334400321 is 1230044334112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2114334400321 - 2²¹ = 2114332303169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2114334400321.

It is not an unprimeable number, because it can be changed into a prime (2114334400391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104113476 + ... + 104133781.

It is an arithmetic number, because the mean of its divisors is an integer number (157434927048).

Almost surely, 2^{2114334400321} is an apocalyptic number.

It is an amenable number.

2114334400321 is a deficient number, since it is larger than the sum of its proper divisors (404624432447).

2114334400321 is a wasteful number, since it uses less digits than its factorization.

2114334400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208247352.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2114334400321 its reverse (1230044334112), we get a palindrome (3344378734433).

The spelling of 2114334400321 in words is "two trillion, one hundred fourteen billion, three hundred thirty-four million, four hundred thousand, three hundred twenty-one".