114686013810640 has 40 divisors (see below), whose sum is σ = 273148518266568. Its totient is φ = 44755517583360.

The previous prime is 114686013810637. The next prime is 114686013810649. The reversal of 114686013810640 is 46018310686411.

It can be written as a sum of positive squares in 4 ways, for example, as 1098421379136 + 113587592431504 = 1048056^2 + 10657748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114686013810649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17482620777 + ... + 17482627336.

Almost surely, 2^{114686013810640} is an apocalyptic number.

114686013810640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114686013810640 is an abundant number, since it is smaller than the sum of its proper divisors (158462504455928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114686013810640 is a wasteful number, since it uses less digits than its factorization.

114686013810640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34965248167 (or 34965248161 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 114686013810640 in words is "one hundred fourteen trillion, six hundred eighty-six billion, thirteen million, eight hundred ten thousand, six hundred forty".