114411342501135 has 48 divisors (see below), whose sum is σ = 209987512020000. Its totient is φ = 57427532513280.

The previous prime is 114411342501119. The next prime is 114411342501161. The reversal of 114411342501135 is 531105243114411.

114411342501135 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 13 + 4 + 2 + 501 + 135 = 666.

It is not a de Polignac number, because 114411342501135 - 2⁴ = 114411342501119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114411342501135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14606991 + ... + 21028239.

It is an arithmetic number, because the mean of its divisors is an integer number (4374739833750).

Almost surely, 2^{114411342501135} is an apocalyptic number.

114411342501135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114411342501135 is a deficient number, since it is larger than the sum of its proper divisors (95576169518865).

114411342501135 is a wasteful number, since it uses less digits than its factorization.

114411342501135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444568 (or 6444565 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 114411342501135 its reverse (531105243114411), we get a palindrome (645516585615546).

The spelling of 114411342501135 in words is "one hundred fourteen trillion, four hundred eleven billion, three hundred forty-two million, five hundred one thousand, one hundred thirty-five".