114738668160 has 512 divisors, whose sum is σ = 390451691520. Its totient is φ = 28612362240.

The previous prime is 114738668159. The next prime is 114738668167. The reversal of 114738668160 is 61866837411.

It is a happy number.

It is a super-2 number, since 2×114738668160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114738668167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325038544 + ... + 325038896.

It is an arithmetic number, because the mean of its divisors is an integer number (762600960).

Almost surely, 2^114738668160 is an apocalyptic number.

114738668160 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 114738668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195225845760).

114738668160 is an abundant number, since it is smaller than the sum of its proper divisors (275713023360).

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

114738668160 is a wasteful number, since it uses less digits than its factorization.

114738668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 114738668160 in words is "one hundred fourteen billion, seven hundred thirty-eight million, six hundred sixty-eight thousand, one hundred sixty".