114396009880320 has 864 divisors, whose sum is σ = 478809498585600. Its totient is φ = 24633019662336.

The previous prime is 114396009880319. The next prime is 114396009880423. The reversal of 114396009880320 is 23088900693411.

114396009880320 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 600 + 9 + 8 + 8 + 0 + 3 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274048084 + ... + 274465196.

It is an arithmetic number, because the mean of its divisors is an integer number (554177660400).

Almost surely, 2^{114396009880320} is an apocalyptic number.

114396009880320 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 114396009880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239404749292800).

114396009880320 is an abundant number, since it is smaller than the sum of its proper divisors (364413488705280).

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

114396009880320 is a wasteful number, since it uses less digits than its factorization.

114396009880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417345 (or 417328 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 114396009880320 in words is "one hundred fourteen trillion, three hundred ninety-six billion, nine million, eight hundred eighty thousand, three hundred twenty".