110644136506125 has 48 divisors (see below), whose sum is σ = 199651393661616. Its totient is φ = 58951952611200.

The previous prime is 110644136506097. The next prime is 110644136506171. The reversal of 110644136506125 is 521605631446011.

110644136506125 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 4 + 4 + 13 + 6 + 506 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88571551272516 + 22072585233609 = 9411246^2 + 4698147^2 .

It is not a de Polignac number, because 110644136506125 - 2⁶ = 110644136506061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 47404474 + ... + 49683723.

It is an arithmetic number, because the mean of its divisors is an integer number (4159404034617).

Almost surely, 2^{110644136506125} is an apocalyptic number.

110644136506125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

110644136506125 is a deficient number, since it is larger than the sum of its proper divisors (89007257155491).

110644136506125 is a wasteful number, since it uses less digits than its factorization.

110644136506125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97089231 (or 97089218 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 110644136506125 in words is "one hundred ten trillion, six hundred forty-four billion, one hundred thirty-six million, five hundred six thousand, one hundred twenty-five".