114241014111540 has 96 divisors (see below), whose sum is σ = 342771621333120. Its totient is φ = 28326805651456.

The previous prime is 114241014111517. The next prime is 114241014111559. The reversal of 114241014111540 is 45111410142411.

It is a happy number.

114241014111540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114241014111540² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114241014111498 and 114241014111507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674620125 + ... + 674789444.

It is an arithmetic number, because the mean of its divisors is an integer number (3570537722220).

Almost surely, 2^{114241014111540} is an apocalyptic number.

114241014111540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114241014111540 is an abundant number, since it is smaller than the sum of its proper divisors (228530607221580).

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

114241014111540 is a wasteful number, since it uses less digits than its factorization.

114241014111540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349409681 (or 1349409679 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

Adding to 114241014111540 its reverse (45111410142411), we get a palindrome (159352424253951).

The spelling of 114241014111540 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, one hundred eleven thousand, five hundred forty".