114240813316848 has 720 divisors, whose sum is σ = 341292298707360. Its totient is φ = 35653676138496.

The previous prime is 114240813316837. The next prime is 114240813316859. The reversal of 114240813316848 is 848613318042411.

It is a happy number.

114240813316848 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 408 + 1 + 33 + 168 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (114240813316837) and next prime (114240813316859).

It is a junction number, because it is equal to n+sod(n) for n = 114240813316794 and 114240813316803.

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, 133303165636 + ... + 133303166492.

It is an arithmetic number, because the mean of its divisors is an integer number (474017081538).

Almost surely, 2^{114240813316848} is an apocalyptic number.

114240813316848 is a gapful number since it is divisible by the number (18) 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 114240813316848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170646149353680).

114240813316848 is an abundant number, since it is smaller than the sum of its proper divisors (227051485390512).

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

114240813316848 is a wasteful number, since it uses less digits than its factorization.

114240813316848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 114240813316848 in words is "one hundred fourteen trillion, two hundred forty billion, eight hundred thirteen million, three hundred sixteen thousand, eight hundred forty-eight".