114306403749120 has 1296 divisors, whose sum is σ = 458193730896720. Its totient is φ = 26249798615040.

The previous prime is 114306403749077. The next prime is 114306403749163. The reversal of 114306403749120 is 21947304603411.

It is a happy number.

114306403749120 is a `hidden beast` number, since 1 + 1 + 430 + 6 + 40 + 3 + 74 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (114306403749077) and next prime (114306403749163).

It can be written as a sum of positive squares in 8 ways, for example, as 9188464437504 + 105117939311616 = 3031248^2 + 10252704^2 .

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 143 ways as a sum of consecutive naturals, for example, 2142428364 + ... + 2142481716.

It is an arithmetic number, because the mean of its divisors is an integer number (353544545445).

Almost surely, 2^{114306403749120} is an apocalyptic number.

114306403749120 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 114306403749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229096865448360).

114306403749120 is an abundant number, since it is smaller than the sum of its proper divisors (343887327147600).

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

114306403749120 is a wasteful number, since it uses less digits than its factorization.

114306403749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53484 (or 53456 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 114306403749120 in words is "one hundred fourteen trillion, three hundred six billion, four hundred three million, seven hundred forty-nine thousand, one hundred twenty".