114995822760 has 384 divisors, whose sum is σ = 460658016000. Its totient is φ = 24227278848.

The previous prime is 114995822749. The next prime is 114995822761. The reversal of 114995822760 is 67228599411.

It is a happy number.

114995822760 is a `hidden beast` number, since 1 + 1 + 499 + 5 + 82 + 2 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114995822697 and 114995822706.

It is not an unprimeable number, because it can be changed into a prime (114995822761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26500671 + ... + 26505009.

It is an arithmetic number, because the mean of its divisors is an integer number (1199630250).

Almost surely, 2^114995822760 is an apocalyptic number.

114995822760 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 114995822760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008000).

114995822760 is an abundant number, since it is smaller than the sum of its proper divisors (345662193240).

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

114995822760 is a wasteful number, since it uses less digits than its factorization.

114995822760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 114995822760 in words is "one hundred fourteen billion, nine hundred ninety-five million, eight hundred twenty-two thousand, seven hundred sixty".