114215018533840 has 320 divisors, whose sum is σ = 319907924582400. Its totient is φ = 37094227494912.

The previous prime is 114215018533829. The next prime is 114215018533849. The reversal of 114215018533840 is 48335810512411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114215018533849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481835989 + ... + 482072971.

It is an arithmetic number, because the mean of its divisors is an integer number (999712264320).

Almost surely, 2^{114215018533840} is an apocalyptic number.

114215018533840 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 114215018533840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159953962291200).

114215018533840 is an abundant number, since it is smaller than the sum of its proper divisors (205692906048560).

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

114215018533840 is a wasteful number, since it uses less digits than its factorization.

114215018533840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237594 (or 237588 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 114215018533840 in words is "one hundred fourteen trillion, two hundred fifteen billion, eighteen million, five hundred thirty-three thousand, eight hundred forty".