114695046961 has 16 divisors (see below), whose sum is σ = 132035774400. Its totient is φ = 98534016000.

The previous prime is 114695046943. The next prime is 114695047013. The reversal of 114695046961 is 169640596411.

It is a cyclic number.

It is not a de Polignac number, because 114695046961 - 2¹⁷ = 114694915889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114695046899 and 114695046908.

It is not an unprimeable number, because it can be changed into a prime (114695046901) 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 15 ways as a sum of consecutive naturals, for example, 600456 + ... + 768073.

It is an arithmetic number, because the mean of its divisors is an integer number (8252235900).

Almost surely, 2^114695046961 is an apocalyptic number.

114695046961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114695046961 is a deficient number, since it is larger than the sum of its proper divisors (17340727439).

114695046961 is a wasteful number, since it uses less digits than its factorization.

114695046961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368960.

The product of its (nonzero) digits is 1399680, while the sum is 52.

It can be divided in two parts, 1146950 and 46961, that added together give a palindrome (1193911).

The spelling of 114695046961 in words is "one hundred fourteen billion, six hundred ninety-five million, forty-six thousand, nine hundred sixty-one".