114482824800 has 288 divisors, whose sum is σ = 383389524000. Its totient is φ = 29651189760.

The previous prime is 114482824793. The next prime is 114482824843. The reversal of 114482824800 is 8428284411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93150586 + ... + 93151814.

It is an arithmetic number, because the mean of its divisors is an integer number (1331213625).

Almost surely, 2^114482824800 is an apocalyptic number.

114482824800 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 114482824800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191694762000).

114482824800 is an abundant number, since it is smaller than the sum of its proper divisors (268906699200).

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

114482824800 is a wasteful number, since it uses less digits than its factorization.

114482824800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The spelling of 114482824800 in words is "one hundred fourteen billion, four hundred eighty-two million, eight hundred twenty-four thousand, eight hundred".