114449448960 has 1200 divisors, whose sum is σ = 520705567800. Its totient is φ = 23781703680.

The previous prime is 114449448947. The next prime is 114449448991. The reversal of 114449448960 is 69844944411.

114449448960 is a `hidden beast` number, since 1 + 14 + 4 + 4 + 94 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 114449448897 and 114449448906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10404495355 + ... + 10404495365.

Almost surely, 2^114449448960 is an apocalyptic number.

114449448960 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 114449448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260352783900).

114449448960 is an abundant number, since it is smaller than the sum of its proper divisors (406256118840).

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

114449448960 is an frugal number, since it uses more digits than its factorization.

114449448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 114449448960 in words is "one hundred fourteen billion, four hundred forty-nine million, four hundred forty-eight thousand, nine hundred sixty".