114345143343540 has 240 divisors, whose sum is σ = 359417731392720. Its totient is φ = 30431472629760.

The previous prime is 114345143343517. The next prime is 114345143343551. The reversal of 114345143343540 is 45343341543411.

114345143343540 is a `hidden beast` number, since 1 + 1 + 4 + 34 + 5 + 1 + 4 + 33 + 43 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4698862594596 + 109646280748944 = 2167686^2 + 10471212^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4960086654 + ... + 4960109706.

It is an arithmetic number, because the mean of its divisors is an integer number (1497573880803).

Almost surely, 2^{114345143343540} is an apocalyptic number.

114345143343540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114345143343540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179708865696360).

114345143343540 is an abundant number, since it is smaller than the sum of its proper divisors (245072588049180).

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

114345143343540 is a wasteful number, since it uses less digits than its factorization.

114345143343540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29024 (or 29013 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 114345143343540 its reverse (45343341543411), we get a palindrome (159688484886951).

The spelling of 114345143343540 in words is "one hundred fourteen trillion, three hundred forty-five billion, one hundred forty-three million, three hundred forty-three thousand, five hundred forty".