114981008800 has 360 divisors, whose sum is σ = 338199103872. Its totient is φ = 38130624000.

The previous prime is 114981008789. The next prime is 114981008803. The reversal of 114981008800 is 8800189411.

114981008800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (114981008803) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 59543835 + ... + 59545765.

Almost surely, 2^114981008800 is an apocalyptic number.

114981008800 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 114981008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169099551936).

114981008800 is an abundant number, since it is smaller than the sum of its proper divisors (223218095072).

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

114981008800 is an equidigital number, since it uses as much as digits as its factorization.

114981008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 40.

The spelling of 114981008800 in words is "one hundred fourteen billion, nine hundred eighty-one million, eight thousand, eight hundred".