114161344340 has 48 divisors (see below), whose sum is σ = 242210077200. Its totient is φ = 45194188800.

The previous prime is 114161344327. The next prime is 114161344357. The reversal of 114161344340 is 43443161411.

114161344340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 394101904 + 113767242436 = 19852^2 + 337294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114161344297 and 114161344306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5712686 + ... + 5732634.

It is an arithmetic number, because the mean of its divisors is an integer number (5046043275).

Almost surely, 2^114161344340 is an apocalyptic number.

114161344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114161344340 is an abundant number, since it is smaller than the sum of its proper divisors (128048732860).

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

114161344340 is a wasteful number, since it uses less digits than its factorization.

114161344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22892 (or 22890 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 114161344340 in words is "one hundred fourteen billion, one hundred sixty-one million, three hundred forty-four thousand, three hundred forty".