114236115840 has 1536 divisors, whose sum is σ = 529296768000. Its totient is φ = 21976842240.

The previous prime is 114236115839. The next prime is 114236115859. The reversal of 114236115840 is 48511632411.

114236115840 is a `hidden beast` number, since 1 + 1 + 42 + 36 + 1 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114236115795 and 114236115804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 821842491 + ... + 821842629.

It is an arithmetic number, because the mean of its divisors is an integer number (344594250).

Almost surely, 2^114236115840 is an apocalyptic number.

114236115840 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 114236115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384000).

114236115840 is an abundant number, since it is smaller than the sum of its proper divisors (415060652160).

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

114236115840 is a wasteful number, since it uses less digits than its factorization.

114236115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 114236115840 in words is "one hundred fourteen billion, two hundred thirty-six million, one hundred fifteen thousand, eight hundred forty".