114450706204020 has 36 divisors (see below), whose sum is σ = 347167142152740. Its totient is φ = 30520188321024.

The previous prime is 114450706203859. The next prime is 114450706204063. The reversal of 114450706204020 is 20402607054411.

114450706204020 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 0 + 7 + 0 + 620 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41070615380496 + 73380090823524 = 6408636^2 + 8566218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317918628165 + ... + 317918628524.

It is an arithmetic number, because the mean of its divisors is an integer number (9643531726465).

Almost surely, 2^{114450706204020} is an apocalyptic number.

114450706204020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114450706204020 is an abundant number, since it is smaller than the sum of its proper divisors (232716435948720).

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

114450706204020 is a wasteful number, since it uses less digits than its factorization.

114450706204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635837256704 (or 635837256699 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 114450706204020 in words is "one hundred fourteen trillion, four hundred fifty billion, seven hundred six million, two hundred four thousand, twenty".