114243550100240 has 320 divisors, whose sum is σ = 297685346918400. Its totient is φ = 40418535168000.

The previous prime is 114243550100237. The next prime is 114243550100371. The reversal of 114243550100240 is 42001055342411.

It is a junction number, because it is equal to n+sod(n) for n = 114243550100197 and 114243550100206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4777853885 + ... + 4777877795.

It is an arithmetic number, because the mean of its divisors is an integer number (930266709120).

Almost surely, 2^{114243550100240} is an apocalyptic number.

114243550100240 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 114243550100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148842673459200).

114243550100240 is an abundant number, since it is smaller than the sum of its proper divisors (183441796818160).

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

114243550100240 is a wasteful number, since it uses less digits than its factorization.

114243550100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24662 (or 24656 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 114243550100240 in words is "one hundred fourteen trillion, two hundred forty-three billion, five hundred fifty million, one hundred thousand, two hundred forty".