114510315355345 has 72 divisors (see below), whose sum is σ = 175714690229568. Its totient is φ = 70143146087040.

The previous prime is 114510315355327. The next prime is 114510315355349. The reversal of 114510315355345 is 543553513015411.

It is a happy number.

It is not a de Polignac number, because 114510315355345 - 2⁵ = 114510315355313 is a prime.

It is a super-2 number, since 2×114510315355345² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114510315355295 and 114510315355304.

It is not an unprimeable number, because it can be changed into a prime (114510315355349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4388167 + ... + 15756796.

It is an arithmetic number, because the mean of its divisors is an integer number (2440481808744).

Almost surely, 2^{114510315355345} is an apocalyptic number.

It is an amenable number.

114510315355345 is a deficient number, since it is larger than the sum of its proper divisors (61204374874223).

114510315355345 is a wasteful number, since it uses less digits than its factorization.

114510315355345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145063 (or 20145019 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 46.

The spelling of 114510315355345 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred fifteen million, three hundred fifty-five thousand, three hundred forty-five".