114413323714560 has 2304 divisors, whose sum is σ = 454777450283520. Its totient is φ = 26437327257600.

The previous prime is 114413323714541. The next prime is 114413323714561. The reversal of 114413323714560 is 65417323314411.

It is a happy number.

114413323714560 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 13 + 3 + 2 + 3 + 71 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114413323714561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 757704130485 + ... + 757704130635.

It is an arithmetic number, because the mean of its divisors is an integer number (197386046130).

Almost surely, 2^{114413323714560} is an apocalyptic number.

114413323714560 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 114413323714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227388725141760).

114413323714560 is an abundant number, since it is smaller than the sum of its proper divisors (340364126568960).

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

114413323714560 is a wasteful number, since it uses less digits than its factorization.

114413323714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 114413323714560 in words is "one hundred fourteen trillion, four hundred thirteen billion, three hundred twenty-three million, seven hundred fourteen thousand, five hundred sixty".