114410141001 has 48 divisors (see below), whose sum is σ = 183026822160. Its totient is φ = 68411381760.

The previous prime is 114410140961. The next prime is 114410141039. The reversal of 114410141001 is 100141014411.

114410141001 is a `hidden beast` number, since 114 + 410 + 141 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43337246976 + 71072894025 = 208176^2 + 266595^2 .

It is not a de Polignac number, because 114410141001 - 2¹⁷ = 114410009929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114410141081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277005 + ... + 3311733.

It is an arithmetic number, because the mean of its divisors is an integer number (3813058795).

Almost surely, 2^114410141001 is an apocalyptic number.

It is an amenable number.

114410141001 is a deficient number, since it is larger than the sum of its proper divisors (68616681159).

114410141001 is a wasteful number, since it uses less digits than its factorization.

114410141001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35546 (or 35543 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114410141001 its reverse (100141014411), we get a palindrome (214551155412).

The spelling of 114410141001 in words is "one hundred fourteen billion, four hundred ten million, one hundred forty-one thousand, one".