114352727262525 has 72 divisors (see below), whose sum is σ = 207631837147176. Its totient is φ = 60150446899200.

The previous prime is 114352727262523. The next prime is 114352727262551. The reversal of 114352727262525 is 525262727253411.

114352727262525 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 5 + 2 + 7 + 2 + 7 + 2 + 625 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 36460752899076 + 77891974363449 = 6038274^2 + 8825643^2 .

It is not a de Polignac number, because 114352727262525 - 2¹ = 114352727262523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114352727262523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505333405 + ... + 505559645.

It is an arithmetic number, because the mean of its divisors is an integer number (2883775515933).

Almost surely, 2^{114352727262525} is an apocalyptic number.

114352727262525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114352727262525 is a deficient number, since it is larger than the sum of its proper divisors (93279109884651).

114352727262525 is a wasteful number, since it uses less digits than its factorization.

114352727262525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257103 (or 257095 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 114352727262525 in words is "one hundred fourteen trillion, three hundred fifty-two billion, seven hundred twenty-seven million, two hundred sixty-two thousand, five hundred twenty-five".