114215842450944 has 960 divisors, whose sum is σ = 374945596945920. Its totient is φ = 34497312030720.

The previous prime is 114215842450909. The next prime is 114215842450973. The reversal of 114215842450944 is 449054248512411.

114215842450944 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 58 + 42 + 4 + 509 + 44 = 666.

It is a super-2 number, since 2×114215842450944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33701928802 + ... + 33701932190.

It is an arithmetic number, because the mean of its divisors is an integer number (390568330152).

Almost surely, 2^{114215842450944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114215842450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187472798472960).

114215842450944 is an abundant number, since it is smaller than the sum of its proper divisors (260729754494976).

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

114215842450944 is an equidigital number, since it uses as much as digits as its factorization.

114215842450944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3813 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 114215842450944 in words is "one hundred fourteen trillion, two hundred fifteen billion, eight hundred forty-two million, four hundred fifty thousand, nine hundred forty-four".