114205001141 has 32 divisors (see below), whose sum is σ = 145356768000. Its totient is φ = 88950805440.

The previous prime is 114205001111. The next prime is 114205001149. The reversal of 114205001141 is 141100502411.

It is not a de Polignac number, because 114205001141 - 2⁶ = 114205001077 is a prime.

It is a super-2 number, since 2×114205001141² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114205001149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10517471 + ... + 10528323.

It is an arithmetic number, because the mean of its divisors is an integer number (4542399000).

Almost surely, 2^114205001141 is an apocalyptic number.

114205001141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114205001141 is a deficient number, since it is larger than the sum of its proper divisors (31151766859).

114205001141 is a wasteful number, since it uses less digits than its factorization.

114205001141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13674 (or 13660 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 114205001141 its reverse (141100502411), we get a palindrome (255305503552).

The spelling of 114205001141 in words is "one hundred fourteen billion, two hundred five million, one thousand, one hundred forty-one".