114011135211024 has 30 divisors (see below), whose sum is σ = 319072829792366. Its totient is φ = 38003711736960.

The previous prime is 114011135211023. The next prime is 114011135211151. The reversal of 114011135211024 is 420112531110411.

114011135211024 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 1 + 113 + 521 + 1 + 0 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63123342800400 + 50887792410624 = 7945020^2 + 7133568^2 .

It is a super-2 number, since 2×114011135211024² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114011135211023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395871997117 + ... + 395871997404.

Almost surely, 2^{114011135211024} is an apocalyptic number.

It is an amenable number.

114011135211024 is an abundant number, since it is smaller than the sum of its proper divisors (205061694581342).

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

114011135211024 is a wasteful number, since it uses less digits than its factorization.

114011135211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791743994535 (or 791743994526 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 114011135211024 its reverse (420112531110411), we get a palindrome (534123666321435).

The spelling of 114011135211024 in words is "one hundred fourteen trillion, eleven billion, one hundred thirty-five million, two hundred eleven thousand, twenty-four".