114114525501241 has 8 divisors (see below), whose sum is σ = 115267546809864. Its totient is φ = 112961958595200.

The previous prime is 114114525501233. The next prime is 114114525501287. The reversal of 114114525501241 is 142105525411411.

It can be written as a sum of positive squares in 4 ways, for example, as 81211728180025 + 32902797321216 = 9011755^2 + 5736096^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114114525501241 - 2³ = 114114525501233 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 114114525501241.

It is not an unprimeable number, because it can be changed into a prime (114114525561241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113095836 + ... + 114100381.

It is an arithmetic number, because the mean of its divisors is an integer number (14408443351233).

Almost surely, 2^{114114525501241} is an apocalyptic number.

It is an amenable number.

114114525501241 is a deficient number, since it is larger than the sum of its proper divisors (1153021308623).

114114525501241 is a wasteful number, since it uses less digits than its factorization.

114114525501241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227201291.

The product of its (nonzero) digits is 32000, while the sum is 37.

The spelling of 114114525501241 in words is "one hundred fourteen trillion, one hundred fourteen billion, five hundred twenty-five million, five hundred one thousand, two hundred forty-one".