114330052350405 has 48 divisors (see below), whose sum is σ = 204487349202864. Its totient is φ = 59054582722560.

The previous prime is 114330052350391. The next prime is 114330052350469. The reversal of 114330052350405 is 504053250033411.

114330052350405 is a `hidden beast` number, since 1 + 1 + 43 + 3 + 0 + 0 + 523 + 50 + 40 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4081438346049 + 110248614004356 = 2020257^2 + 10499934^2 .

It is not a de Polignac number, because 114330052350405 - 2¹⁶ = 114330052284869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114330052350405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225906024 + ... + 226411553.

It is an arithmetic number, because the mean of its divisors is an integer number (4260153108393).

Almost surely, 2^{114330052350405} is an apocalyptic number.

114330052350405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114330052350405 is a deficient number, since it is larger than the sum of its proper divisors (90157296852459).

114330052350405 is a wasteful number, since it uses less digits than its factorization.

114330052350405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452317766 (or 452317763 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 114330052350405 in words is "one hundred fourteen trillion, three hundred thirty billion, fifty-two million, three hundred fifty thousand, four hundred five".