114164506561 has 8 divisors (see below), whose sum is σ = 133136451200. Its totient is φ = 97855291044.

The previous prime is 114164506537. The next prime is 114164506571. The reversal of 114164506561 is 165605461411.

It is not a de Polignac number, because 114164506561 - 2¹⁷ = 114164375489 is a prime.

It is a super-2 number, since 2×114164506561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114164506571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166420221 + ... + 166420906.

It is an arithmetic number, because the mean of its divisors is an integer number (16642056400).

Almost surely, 2^114164506561 is an apocalyptic number.

It is an amenable number.

114164506561 is a deficient number, since it is larger than the sum of its proper divisors (18971944639).

114164506561 is an frugal number, since it uses more digits than its factorization.

114164506561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332841148 (or 332841134 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

Adding to 114164506561 its reverse (165605461411), we get a palindrome (279769967972).

The spelling of 114164506561 in words is "one hundred fourteen billion, one hundred sixty-four million, five hundred six thousand, five hundred sixty-one".