114717854045760 has 896 divisors, whose sum is σ = 432745477570560. Its totient is φ = 25195583692800.

The previous prime is 114717854045671. The next prime is 114717854045761. The reversal of 114717854045760 is 67540458717411.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 114717854045694 and 114717854045703.

It is not an unprimeable number, because it can be changed into a prime (114717854045761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17331595731 + ... + 17331602349.

It is an arithmetic number, because the mean of its divisors is an integer number (482974863360).

Almost surely, 2^{114717854045760} is an apocalyptic number.

114717854045760 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 114717854045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216372738785280).

114717854045760 is an abundant number, since it is smaller than the sum of its proper divisors (318027623524800).

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

114717854045760 is a wasteful number, since it uses less digits than its factorization.

114717854045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 60.

The spelling of 114717854045760 in words is "one hundred fourteen trillion, seven hundred seventeen billion, eight hundred fifty-four million, forty-five thousand, seven hundred sixty".