108641585745 has 288 divisors, whose sum is σ = 246924437760. Its totient is φ = 44855078400.

The previous prime is 108641585737. The next prime is 108641585749. The reversal of 108641585745 is 547585146801.

108641585745 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 1 + 5 + 8 + 574 + 5 = 666.

It is not a de Polignac number, because 108641585745 - 2³ = 108641585737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 108641585691 and 108641585700.

It is not an unprimeable number, because it can be changed into a prime (108641585749) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235664815 + ... + 235665275.

It is an arithmetic number, because the mean of its divisors is an integer number (857376520).

Almost surely, 2^108641585745 is an apocalyptic number.

108641585745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108641585745 is an abundant number, since it is smaller than the sum of its proper divisors (138282852015).

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

108641585745 is a wasteful number, since it uses less digits than its factorization.

108641585745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 108641585745 in words is "one hundred eight billion, six hundred forty-one million, five hundred eighty-five thousand, seven hundred forty-five".