114523510314100 has 72 divisors (see below), whose sum is σ = 263136634349400. Its totient is φ = 43114401054720.

The previous prime is 114523510314089. The next prime is 114523510314223. The reversal of 114523510314100 is 1413015325411.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 36855316856164 + 77668193457936 = 6070858^2 + 8812956^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436899876 + ... + 437161924.

It is an arithmetic number, because the mean of its divisors is an integer number (3654675477075).

Almost surely, 2^{114523510314100} is an apocalyptic number.

114523510314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114523510314100 is an abundant number, since it is smaller than the sum of its proper divisors (148613124035300).

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

114523510314100 is a wasteful number, since it uses less digits than its factorization.

114523510314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519157 (or 519150 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 114523510314100 its reverse (1413015325411), we get a palindrome (115936525639511).

The spelling of 114523510314100 in words is "one hundred fourteen trillion, five hundred twenty-three billion, five hundred ten million, three hundred fourteen thousand, one hundred".