114455444050000 has 240 divisors, whose sum is σ = 286807171759920. Its totient is φ = 44192655360000.

The previous prime is 114455444049959. The next prime is 114455444050007. The reversal of 114455444050000 is 50444554411.

It can be written as a sum of positive squares in 24 ways, for example, as 114367368055824 + 88075994176 = 10694268^2 + 296776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114455444050007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8492643262 + ... + 8492656738.

It is an arithmetic number, because the mean of its divisors is an integer number (1195029882333).

Almost surely, 2^{114455444050000} is an apocalyptic number.

114455444050000 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 114455444050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143403585879960).

114455444050000 is an abundant number, since it is smaller than the sum of its proper divisors (172351727709920).

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

114455444050000 is an equidigital number, since it uses as much as digits as its factorization.

114455444050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19396 (or 19370 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 37.

The spelling of 114455444050000 in words is "one hundred fourteen trillion, four hundred fifty-five billion, four hundred forty-four million, fifty thousand".