114524301245340 has 288 divisors, whose sum is σ = 373771765592064. Its totient is φ = 26124422607360.

The previous prime is 114524301245317. The next prime is 114524301245351. The reversal of 114524301245340 is 43542103425411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3007209939 + ... + 3007248021.

It is an arithmetic number, because the mean of its divisors is an integer number (1297818630528).

Almost surely, 2^{114524301245340} is an apocalyptic number.

114524301245340 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 114524301245340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186885882796032).

114524301245340 is an abundant number, since it is smaller than the sum of its proper divisors (259247464346724).

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

114524301245340 is a wasteful number, since it uses less digits than its factorization.

114524301245340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40137 (or 40128 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 114524301245340 in words is "one hundred fourteen trillion, five hundred twenty-four billion, three hundred one million, two hundred forty-five thousand, three hundred forty".