114555154144340 has 144 divisors (see below), whose sum is σ = 301527776566800. Its totient is φ = 36235617804288.

The previous prime is 114555154144229. The next prime is 114555154144367. The reversal of 114555154144340 is 43441451555411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5175433901764 + 109379720242576 = 2274958^2 + 10458476^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21685826 + ... + 26445894.

It is an arithmetic number, because the mean of its divisors is an integer number (2093942892825).

Almost surely, 2^{114555154144340} is an apocalyptic number.

114555154144340 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 114555154144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150763888283400).

114555154144340 is an abundant number, since it is smaller than the sum of its proper divisors (186972622422460).

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

114555154144340 is a wasteful number, since it uses less digits than its factorization.

114555154144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761994 (or 4761985 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 47.

The spelling of 114555154144340 in words is "one hundred fourteen trillion, five hundred fifty-five billion, one hundred fifty-four million, one hundred forty-four thousand, three hundred forty".