114001637061 has 32 divisors (see below), whose sum is σ = 164627527680. Its totient is φ = 69755503104.

The previous prime is 114001637047. The next prime is 114001637069. The reversal of 114001637061 is 160736100411.

It is a de Polignac number, because none of the positive numbers 2^k-114001637061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114001637069) 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 31 ways as a sum of consecutive naturals, for example, 16046236 + ... + 16053338.

It is an arithmetic number, because the mean of its divisors is an integer number (5144610240).

Almost surely, 2^114001637061 is an apocalyptic number.

It is an amenable number.

114001637061 is a deficient number, since it is larger than the sum of its proper divisors (50625890619).

114001637061 is a wasteful number, since it uses less digits than its factorization.

114001637061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405.

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 114001637061 its reverse (160736100411), we get a palindrome (274737737472).

It can be divided in two parts, 11400 and 1637061, that added together give a palindrome (1648461).

The spelling of 114001637061 in words is "one hundred fourteen billion, one million, six hundred thirty-seven thousand, sixty-one".