114160828320 has 1152 divisors, whose sum is σ = 500939292672. Its totient is φ = 23183677440.

The previous prime is 114160828291. The next prime is 114160828339. The reversal of 114160828320 is 23828061411.

114160828320 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 608 + 28 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 898904097 + ... + 898904223.

It is an arithmetic number, because the mean of its divisors is an integer number (434843136).

Almost surely, 2^114160828320 is an apocalyptic number.

114160828320 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 114160828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250469646336).

114160828320 is an abundant number, since it is smaller than the sum of its proper divisors (386778464352).

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

114160828320 is a wasteful number, since it uses less digits than its factorization.

114160828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 114160828320 its reverse (23828061411), we get a palindrome (137988889731).

The spelling of 114160828320 in words is "one hundred fourteen billion, one hundred sixty million, eight hundred twenty-eight thousand, three hundred twenty".