114800656938240 has 1296 divisors, whose sum is σ = 465744040691328. Its totient is φ = 23887160672256.

The previous prime is 114800656938239. The next prime is 114800656938259. The reversal of 114800656938240 is 42839656008411.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 13035155917 + ... + 13035164723.

It is an arithmetic number, because the mean of its divisors is an integer number (359370401768).

Almost surely, 2^{114800656938240} is an apocalyptic number.

114800656938240 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 114800656938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232872020345664).

114800656938240 is an abundant number, since it is smaller than the sum of its proper divisors (350943383753088).

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

114800656938240 is an equidigital number, since it uses as much as digits as its factorization.

114800656938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 8910 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 114800656938240 in words is "one hundred fourteen trillion, eight hundred billion, six hundred fifty-six million, nine hundred thirty-eight thousand, two hundred forty".