114240720051311 has 32 divisors (see below), whose sum is σ = 135940391313408. Its totient is φ = 93969528831360.

The previous prime is 114240720051301. The next prime is 114240720051313. The reversal of 114240720051311 is 113150027042411.

It is not a de Polignac number, because 114240720051311 - 2²² = 114240715857007 is a prime.

It is a super-4 number, since 4×114240720051311⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240720051313) 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 31 ways as a sum of consecutive naturals, for example, 25533401 + ... + 29672141.

It is an arithmetic number, because the mean of its divisors is an integer number (4248137228544).

Almost surely, 2^{114240720051311} is an apocalyptic number.

114240720051311 is a deficient number, since it is larger than the sum of its proper divisors (21699671262097).

114240720051311 is a wasteful number, since it uses less digits than its factorization.

114240720051311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140431.

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 114240720051311 its reverse (113150027042411), we get a palindrome (227390747093722).

The spelling of 114240720051311 in words is "one hundred fourteen trillion, two hundred forty billion, seven hundred twenty million, fifty-one thousand, three hundred eleven".