114832482824880 has 480 divisors, whose sum is σ = 435241076121600. Its totient is φ = 27748988315136.

The previous prime is 114832482824849. The next prime is 114832482824897. The reversal of 114832482824880 is 88428284238411.

It is a happy number.

114832482824880 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 32 + 48 + 2 + 82 + 488 + 0 = 666.

It is a super-2 number, since 2×114832482824880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19065489 + ... + 24354831.

It is an arithmetic number, because the mean of its divisors is an integer number (906752241920).

Almost surely, 2^{114832482824880} is an apocalyptic number.

114832482824880 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 114832482824880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620538060800).

114832482824880 is an abundant number, since it is smaller than the sum of its proper divisors (320408593296720).

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

114832482824880 is a wasteful number, since it uses less digits than its factorization.

114832482824880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289430 (or 5289395 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 63.

The spelling of 114832482824880 in words is "one hundred fourteen trillion, eight hundred thirty-two billion, four hundred eighty-two million, eight hundred twenty-four thousand, eight hundred eighty".